Question

Solve the equation. Express decimals to 3 places.
3^x = 7

Answer 1

1.771

Explanation:

log 3^x = 7

x log3 = log 7

divide both sides by log3

x = log7 / log 3

x = 1.771

Answer 2

Answer of given question is 1.771

Explanation:

Given :

`3^x=7`

Taking log on both side

`log(3^(x) )=log 7\\xlog3=log7\\x=(log7)/(log3) \\x=1.7712`

Therefore, answer of the given question is 1.771