Question

Which logarithmic equation is equivalent to 8^2 = 64?

Answer 1

a^N = x 
loga x = N 


log(8²) = log(64) 
2log(8) = log(64) 
2 = log(64)/log(8) 
2 = log8(64) [log of 64 to base 8 is 2]

Answer 2

Answer:

The logarithmic equation which is equal to $\log _{8} 64=2$ is equivalent to exponent 2.

Step-by-step explanation:

A “logarithmic equation” is an equation which involves the “logarithm” of any expression which is containing a variable.

$\log _{a} b=c$ converted into $a^{c}=b$.

The exponential form is $\log _{8} 64=2$ can be written as $8^{2}=64$

Therefore the logarithmic exponential using a log base of 8 to the right hand side equal to 64 is equivalent to the exponent 2.