Answer:
n=3
Step-by-step explanation:
7
n
=343
Use the rules of exponents and logarithms to solve the equation.
7
n
=343
Take the logarithm of both sides of the equation.
log(7
n
)=log(343)
The logarithm of a number raised to a power is the power times the logarithm of the number.
nlog(7)=log(343)
Divide both sides by log(7).
n=
log(7)
log(343)
By the change-of-base formula
log(b)
log(a)
=log
b
(a).
n=log
7
(343)
