Question

solve log base 8 of 64=x

Answer 1

do you know log rules? ... which rule can be applied here? :)

Answer 2

\[\LARGE \log_a(b)=c\quad \Longrightarrow b=a^c\]

Answer 3

log base 8 of 64 = log base 8 of 8^2 applying the rule log base a of b = c = a^c you get 2.

Answer 4

\[\LARGE \log_{8}(64)=x\]
\[\LARGE 64=8^x\]
\[\LARGE 8^2=8^x\quad \iff 2=x\]

Answer 5

The logarithm of a number is the power to which the base must be raised to equal the number.
Because 8^2=64, log(base 8)64 = 2

Answer 6

x = xlog8(8)
xlog8(8)=log8(64)=log8(8^2)=2log8(8)
than x=2