Question

Which logarithmic equation is equivalent to 8^2 =64

Answer 1

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

Is it what you mean by logarithmic equation ?

Answer 2

Answer:

$\log_8(64) = 2$

Step-by-step 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.