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zvonat [6]
3 years ago
8

What is this I need the answer

Mathematics
1 answer:
Archy [21]3 years ago
8 0
<h3>Answer is  0</h3>

===========================================================

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.

------------

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

------------

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

\log_8(1) = \frac{\log(1)}{\log(8)} = \frac{0}{0.903} = 0

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