What is this I need the answer

Question

asked Feb 14, 2021 115k views

1 Answer

Albert Martin · Answer 1 · 2021-02-20T00:40:01+0000

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Step-by-step explanation:

Logarithms are used to solve exponential equations. Specifically if you have a variable in the exponent, then you use a log to isolate the variable.

If we set the given log expression to x, then we can rewrite it into 8^x = 1. The only value of x that works is x = 0.

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Or put another way,

8^x = 1

8^x = 8^0 ... replace the 1 with 8^0

x = 0 ... the bases are equal (to 8) so the exponents must be equal

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You can use the change of base formula to directly calculate this log

$\log_8(1) = (\log(1))/(\log(8)) = (0)/(0.903) = 0$