Solve the following logarithm problem for the positive solution for a. log_(64)x=-(4)/(3) Answer Attemptiout of square

Question

Answer 1

To solve the logarithmic equation

, we need to rewrite it in its exponential form. The general form of a logarithmic equation

can be rewritten as

.Given:

We can rewrite this as:

Next, we need to simplify

. We know that

can be expressed as a power of

:

So,

Using the property of exponents \((a^m)^n = a^{mn}\), we get:

Therefore,

So the positive solution for

is:

Thus, the answer is:

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