What is the answer to 15^{3x-2}=13^{3x-2} ?

The answer to 15^{3x-2}=13^{3x-2} is x=(-2ln(13)+2ln(15))/(3(-ln(13)+ln(15)))

Solve for x: 15^{3x-2}=13^{3x-2}

The solution is x=(-2ln(13)+2ln(15))/(3(-ln(13)+ln(15)))

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1 5^{3 x - 2} = 1 3^{3 x - 2}

x = \frac{- 2 ln ( 13 ) + 2 ln ( 15 )}{3 ( - ln ( 13 ) + ln ( 15 ) )}

Decimal Notation

x = 0.66666 \dots

Solution steps

1 5^{3 x - 2} = 1 3^{3 x - 2}

Apply exponent rules

(3 x - 2) ln (15) = (3 x - 2) ln (13)

Solve

(3 x - 2) ln (15) = (3 x - 2) ln (13) : x = \frac{- 2 ln ( 13 ) + 2 ln ( 15 )}{3 ( - ln ( 13 ) + ln ( 15 ) )}

x = \frac{- 2 ln ( 13 ) + 2 ln ( 15 )}{3 ( - ln ( 13 ) + ln ( 15 ) )}

4461480 = 6800000 \cdot 0. 9^{x}

ln (e^{2 x + 1}) = 9

e^{x + 3} = \frac{1}{e}

3^{2 x + 1} = 2 7^{x}

2^{x} = 100000

What is the answer to 15^{3x-2}=13^{3x-2} ?
The answer to 15^{3x-2}=13^{3x-2} is x=(-2ln(13)+2ln(15))/(3(-ln(13)+ln(15)))
Solve for x: 15^{3x-2}=13^{3x-2}
The solution is x=(-2ln(13)+2ln(15))/(3(-ln(13)+ln(15)))