log4 32=? log4 32=?. Your answer will be a fraction. Type the numerator, then a /, then the denominator, with nothing else. Hint: Notice that both 4 and 32 are powers of 2.

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Mathematics

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20 September, 20:15

log4 32=? log4 32=?. Your answer will be a fraction. Type the numerator, then a /, then the denominator, with nothing else. Hint: Notice that both 4 and 32 are powers of 2.

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Dakota Burch · Answer 1

Log₄32 = ln32/ln4 = 3.466/1.386 = 5/2 = 2.5

Another method log₄ (32) = x

Then 32 = 4^x

but 32 = 2^5 & 4^x = 2^2x

Then 2^5 = 2^ (2x) = = > 5=2x & x = 5/2