Question

solve the equations:

1. 3^(x+1) =7

2. 5^(x+1) = 25^(1-x)

we are learning logarithm right now..

Answer 1

\[3^{x+1}=7\]
apply log on both sides
\[log 3^{x+1}=log 7\]
\[(x+1) log 3=log 7\]
\[(x+1) =log 7/ log 3\]

Answer 2

x = (log7/log3)-1

Answer 3

do the other problem in a similar manner

Answer 4

thank you!

Answer 5

you are welcome