Solve log_8 12 = x – 2 . round your answer to four decimal places.

Step-by-step

Let's attack the left side:

log_8 12 = log (base 8) 12 = log(12)/log(8) = 1.1949875 (approx.)

Next solve

log_8 12 = x-2

log(12)/log(8) = x-2

x = 2 + log(12)/log(8)

= 3.195 (to one thousandth)

For this case we have the following expression:

We rewrite how:

We add 2 to both sides of the equation:

We rewrite as

We apply logarithm properties:

We apply logarithm properties:

The logarithmic base 8 of 2 is

We simplify:

Decimal form:

3,195

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