What is the answer to 9(5^x)=8^{x+4} ?

The answer to 9(5^x)=8^{x+4} is x=(12ln(2)-2ln(3))/(ln(5)-3ln(2))

Solve for x: 9(5^x)=8^{x+4}

The solution is x=(12ln(2)-2ln(3))/(ln(5)-3ln(2))

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9 (5^{x}) = 8^{x + 4}

x = \frac{12 ln ( 2 ) - 2 ln ( 3 )}{ln ( 5 ) - 3 ln ( 2 )}

Solution steps

9 (5^{x}) = 8^{x + 4}

Apply exponent rules

ln (9) + x ln (5) = (x + 4) ln (8)

Solve

ln (9) + x ln (5) = (x + 4) ln (8) : x = \frac{12 ln ( 2 ) - 2 ln ( 3 )}{ln ( 5 ) - 3 ln ( 2 )}

x = \frac{12 ln ( 2 ) - 2 ln ( 3 )}{ln ( 5 ) - 3 ln ( 2 )}

5^{6 x + 1} - 6 \cdot 5^{3 x} + 1 = 0

(2)^{x} = 16

3^{x} - 3^{1 - x} = 2

e^{x} = e^{4 - x}

\frac{3 ^{x}}{9 ^{2 x + 3}} = 1

What is the answer to 9(5^x)=8^{x+4} ?
The answer to 9(5^x)=8^{x+4} is x=(12ln(2)-2ln(3))/(ln(5)-3ln(2))
Solve for x: 9(5^x)=8^{x+4}
The solution is x=(12ln(2)-2ln(3))/(ln(5)-3ln(2))