Question

20 POINTS / I need this ASAP Solve the Problem

Answer 1

Answer:

n= 7.5

Step-by-step explanation:

So to get the answer to this equation, we have to create different equivalent equations, in the base equation so that in the end all bases are equivalent to solve for n.

Exact Form:

7/2

Decimal Form:

3.5

Mixed Number Form:

3 1/2

Hope this was helpful! Have a great day! :)

Answer 2

Answer:

n = 4

Step-by-step explanation:

Properties of Exponents

We are required to solve the following equation:

$\displaystyle 7^7\cdot 7^5=\frac{(7^n)^4}{7^4}$

Operating:

$\displaystyle 7^{7+5}=\frac{7^{4n}}{7^4}$

$\displaystyle 7^{12}=7^{4n-4}$

Equating the exponents:

4n - 4 = 12

Adding 4:

4n = 16

Dividing by 4:

n = 4