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altavistard
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Given   8^2=64   you could find the log of both sides:

log 8^2 = log 64   becomes 2 log 8 = log 64.  You could use ln in place of log if you want.

Answer:

[tex]log_8(64)= 2[/tex]

Step-by-step explanation:

[tex]8^2= 64[/tex], to write it in log form we use log rule

If [tex]b^x=a[/tex] then log form is [tex]x=log_b(a)[/tex]

We apply this rule in our exponential equation

the base of exponential equation is 8

base 8 becomes the base of log

[tex]8^2= 64[/tex]

[tex]log_8(64)= 2[/tex]

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