Question

Determine, pela definição e suas consequências, o valor dos seguintes logaritmos: log 49 7

Answer 1

$log_{_{49}}7~=~x\\\\\\7~=~49^x\\\\\\7~=~\left(7^2\right)^x\\\\\\7^1~=~7^{\,2~.~x}\\\\\\1~=~2x\\\\\\\boxed{x~=~\frac{1}{2}}$