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5 votes
Which logarithmic equation is equivalent to 8^2 =64

User Seize
by
7.6k points

2 Answers

6 votes
㏑(8^2) = ㏑(64)
or
㏑(a^n) = n㏑(a)
so
2㏑(8) = ㏑(64)

Is it what you mean by logarithmic equation ?
User Jack Taylor
by
7.6k points
3 votes

Answer:


\log_8(64) = 2

Explanation:

We are given an equation:


8^2 = 64

We have to convert this into a logarithmic equation.

We know that:


b^x = a

where b is the base and x is the exponent.

Then, it can be written as:


\log_b(a) = x

So, we have b = 8, x = 2 and a = 64

Thus, we can write:


\bold{\log_8(64) = 2}

It is the required logarithmic equation.

User Simon Lomax
by
8.0k points

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