jee-main 2021 Q75

jee-main · India · session2_17mar_shift1 Laws of Logarithms Solve a Logarithmic Equation
The inverse of $y = 5 ^ { \log x }$ is:
(1) $x = 5 ^ { \log y }$
(2) $x = y ^ { \log 5 }$
(3) $y = x ^ { \frac { 1 } { \log 5 } }$
(4) $x = 5 ^ { \frac { 1 } { \log y } }$
The inverse of $y = 5 ^ { \log x }$ is:\\
(1) $x = 5 ^ { \log y }$\\
(2) $x = y ^ { \log 5 }$\\
(3) $y = x ^ { \frac { 1 } { \log 5 } }$\\
(4) $x = 5 ^ { \frac { 1 } { \log y } }$