SOLUTION: Please help me to understand how to solve the equation: {{{ if 8^2n+1=2^n+18;n= }}} The answer for N is suppose to be 3. I cannot figure it out. ^2n+1 is the exponent for the

Question 394670: Please help me to understand how to solve the equation:

The answer for N is suppose to be 3. I cannot figure it out. ^2n+1 is the exponent for the first half of the if statement. ^n+18 is the exponent for the second half of the if statement. If I substitute 3 for the N, is it 8 to the 23 power plus one power? or 8 to the second power times the third power plus one power. Anyway, does 8 to the 7th power = 2 to the 21 power?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
;n=
:
Since 8 can be written 2^3, we can write the equation

which is:

now since they have the same base we can ignore the base and write it
6n + 3 = n + 18
6n - n = 18 - 3
5n = 15
n = 15/5
n = 3
:
:
Check this in the original problem

a calc gives 2097152 for both sides

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