What is the answer to 9^{x-5}=12^x ?

The answer to 9^{x-5}=12^x is x=(10ln(3))/(ln(3/4))

Solve for x: 9^{x-5}=12^x

The solution is x=(10ln(3))/(ln(3/4))

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9^{x - 5} = 1 2^{x}

x = \frac{10 ln ( 3 )}{ln ( \frac{3}{4} )}

Decimal Notation

x = - 38.18841 \dots

Solution steps

9^{x - 5} = 1 2^{x}

Apply exponent rules

(x - 5) ln (9) = x ln (12)

Solve

(x - 5) ln (9) = x ln (12) : x = \frac{10 ln ( 3 )}{ln ( \frac{3}{4} )}

x = \frac{10 ln ( 3 )}{ln ( \frac{3}{4} )}

4^{x} + 4^{x + 1} = 20 \cdot 4

\frac{2 ^{2 x + 3}}{2 ^{3 x - 1}} = 64

4^{x + 1} = 64 \cdot 2^{x + 1}

What is the answer to 9^{x-5}=12^x ?
The answer to 9^{x-5}=12^x is x=(10ln(3))/(ln(3/4))
Solve for x: 9^{x-5}=12^x
The solution is x=(10ln(3))/(ln(3/4))