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ohaa [14]
3 years ago
12

Solve the equation: 7^n=343

Mathematics
2 answers:
Sholpan [36]3 years ago
8 0

Answer is

7^n = 7^3

N=3

belka [17]3 years ago
8 0

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)

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