SOLUTION: 7^x^2-15=49^x

Question 248608: 7^x^2-15=49^x
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
Unless an exponent is just a single number or variable, please put parentheses around it. I can't tell if the left side is:
, or
These are all different and will have different solutions. So I really can't help you much until I know which is correct.

But I can say that the solution will probably take advantage of the fact that 49 is a power of 7:

(The last part comes from the rule for exponents: )

If the left side is , then the problem is easier than the other two possibilities:

With both the left side and the right side being a powers of 7, the exponents must be equal:

This is now a quadratic equation. So we'll get one side equal to zero (by subtracting 2x):

Factor:

Use the Zero Product Property:
or
Solve:
or
RELATED QUESTIONS
x+7/X^2-49 (answered by jim_thompson5910)

(x-7)/(x^(2)-49) (answered by jim_thompson5910)

okay i need help with this one: 49^x = 7^(x^2)-15... (answered by josmiceli)

a table for y=x^2-49 is given. Need to solve each equation for inequality. a) x^2-49=0 (answered by Alan3354)

Solve... (answered by jsmallt9)

(7^1/2)^log base 49 (x) (answered by josmiceli,MathTherapy,ikleyn)

x+7)^2=x^7+2*7x+7^2=x^7+14x+49 (answered by Fombitz)

how do i factor: X^2+14x+49. (x+7)(x+7)=(x+7)^2 (answered by Alan3354)

7|x-6|=49 (answered by tommyt3rd)