Question

What is the value of m?

Answer 1

the value of (3m) is 4

Explanation:

3m equals 4

Answer 2

m=4

Explanation:

3^3 * 3^5 = 3^m^2

We know that a^b*a^c = a^(b+c)

So combining terms on the left

3^(3+5) = 3^m^2

3^(8) = 3^m^2

We know that a^b^c = a^(b*c)

Combining terms on the left

3^(8) = 3^(m*2)

Since the bases are the same, the exponents are the same

8 = 2m

Divide each side by 2

8/2 = 2m/2

m=4