Question

log6(625)=

Answer 1

\[\log_6(625)=\frac{\ln(625)}{\ln(6)}\]

Answer 2

how could i solve it with out calculator

Answer 3

since \(625=5^4\) you have
\[\log_6(625)=\log_6(5^4)=4\log_6(5)\]

Answer 4

but without a calculator you cannot solve
\[\log_6(5)\]

are you sure the base is 6?

Answer 5

no its 5 sorry

Answer 6

if the question is
\[\log_5(625)\] then
\[\log_5(625)=\log_5(5^4)=4\]

Answer 7

\[\log_5(625)\] is the number you raise 5 to on order to get 625
since \(5^4=625\) that number is 4

Answer 8

ya and power will multiply