10:[["$","title","0",{"children":"CUET General Test - If _8 x = 2/3, then the value of X is: | PYQs + Solutions | AfterBoards"}],["$","meta","1",{"name":"description","content":"undefined Given: _8 x = 2/3 A logarithm asks: \"What power do I raise the base to, to >=t x?\" So this is saying: \"2/3 is the power I raise 8 to, to >=t x\"

The basic ru<= is: If _b x = y, then b^y = x For this prob<=m: - Base (b) = 8 - Result (y) = 2/3 - Unknown (x) = ? Therefore: x = 8^2/3

The fractional exponent 2/3 means: - The denominator (3) = take the cube root - The numerator (2) = square the result So: 8^2/3 = ([3]8)^2

Find the cube root of 8: [3]8 = 2 (because 2 2 2 = 8) Square that result: (2)^2 = 4

Therefore, x = 4"}],["$","link","2",{"rel":"manifest","href":"https://www.afterboards.in/manifest.json","crossOrigin":"$undefined"}],["$","meta","3",{"name":"keywords","content":"CUETGET,GET,Modern Math,Indices"}],["$","meta","4",{"name":"robots","content":"index, follow"}],["$","meta","5",{"name":"category","content":"education"}],["$","meta","6",{"name":"google-site-verification","content":"google"}],["$","meta","7",{"property":"og:title","content":"CUET General Test - If _8 x = 2/3, then the value of X is: | PYQs + Solutions"}],["$","meta","8",{"property":"og:description","content":"undefined Given: _8 x = 2/3 A logarithm asks: \"What power do I raise the base to, to >=t x?\" So this is saying: \"2/3 is the power I raise 8 to, to >=t x\"

The basic ru<= is: If _b x = y, then b^y = x For this prob<=m: - Base (b) = 8 - Result (y) = 2/3 - Unknown (x) = ? Therefore: x = 8^2/3

The fractional exponent 2/3 means: - The denominator (3) = take the cube root - The numerator (2) = square the result So: 8^2/3 = ([3]8)^2

Find the cube root of 8: [3]8 = 2 (because 2 2 2 = 8) Square that result: (2)^2 = 4

Therefore, x = 4"}],["$","meta","9",{"property":"og:url","content":"https://www.afterboards.in/past-year-questions/cuet-general-test/2025/slot-5/48"}],["$","meta","10",{"property":"og:site_name","content":"AfterBoards | CUET General Test Preparation"}],["$","meta","11",{"property":"og:image","content":"https://www.afterboards.in/pyp/AfterBoards%20CUET%20Past%20Year%20Papers%20with%20Solutions.webp"}],["$","meta","12",{"property":"og:type","content":"website"}],["$","meta","13",{"name":"twitter:card","content":"summary_large_image"}],["$","meta","14",{"name":"twitter:site","content":"afterboards.in"}],["$","meta","15",{"name":"twitter:title","content":"CUET General Test - If _8 x = 2/3, then the value of X is: | PYQs + Solutions"}],["$","meta","16",{"name":"twitter:description","content":"undefined Given: _8 x = 2/3 A logarithm asks: \"What power do I raise the base to, to >=t x?\" So this is saying: \"2/3 is the power I raise 8 to, to >=t x\"

The basic ru<= is: If _b x = y, then b^y = x For this prob<=m: - Base (b) = 8 - Result (y) = 2/3 - Unknown (x) = ? Therefore: x = 8^2/3

The fractional exponent 2/3 means: - The denominator (3) = take the cube root - The numerator (2) = square the result So: 8^2/3 = ([3]8)^2

Find the cube root of 8: [3]8 = 2 (because 2 2 2 = 8) Square that result: (2)^2 = 4

Therefore, x = 4"}],["$","meta","17",{"name":"twitter:image","content":"https://www.afterboards.in/pyp/AfterBoards%20CUET%20Past%20Year%20Papers%20with%20Solutions.webp"}],["$","link","18",{"rel":"shortcut icon","href":"https://www.afterboards.in/favicon.ico","type":"image/x-icon","sizes":"48x48"}],["$","link","19",{"rel":"icon","href":"https://www.afterboards.in/favicon.ico","type":"image/x-icon","sizes":"48x48"}],["$","link","20",{"rel":"icon","href":"https://www.afterboards.in/icons/windows11/Square44x44Logo.altform-lightunplated_targetsize-256.png","sizes":"256x256","type":"image/png"}],"$L18","$L19","$L1a","$L1b","$L1c","$L1d"]

CUET General Test 2025 15 May Shift 1 PYQs

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