What is the answer to solvefor x,f^{8x+11}=a^{9x+4} ?

The answer to solvefor x,f^{8x+11}=a^{9x+4} is x=(4ln(a)-11ln(f))/(8ln(f)-9ln(a))

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solvefor x,f^{8x+11}=a^{9x+4}

solve for

x, f^{8 x + 11} = a^{9 x + 4}

x = \frac{4 ln ( a ) - 11 ln ( f )}{8 ln ( f ) - 9 ln ( a )}

Solution steps

f^{8 x + 11} = a^{9 x + 4}

Apply exponent rules

(8 x + 11) ln (f) = (9 x + 4) ln (a)

Solve

(8 x + 11) ln (f) = (9 x + 4) ln (a) : x = \frac{4 ln ( a ) - 11 ln ( f )}{8 ln ( f ) - 9 ln ( a )}

x = \frac{4 ln ( a ) - 11 ln ( f )}{8 ln ( f ) - 9 ln ( a )}

e^{x} = 21

5^{x - 7} = \frac{1}{125}

5^{x} - 97 \cdot 5^{\frac{x}{2}} + 6^{4} = 0

8 1^{x + 5} = 3^{2 x}

7^{3 x - 4} = 3^{x - 5}

What is the answer to solvefor x,f^{8x+11}=a^{9x+4} ?
The answer to solvefor x,f^{8x+11}=a^{9x+4} is x=(4ln(a)-11ln(f))/(8ln(f)-9ln(a))