What is the answer to 3^{3x-4}=15 ?

The answer to 3^{3x-4}=15 is x=(ln(1215))/(3ln(3))

Solve for x: 3^{3x-4}=15

The solution is x=(ln(1215))/(3ln(3))

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3^{3 x - 4} = 15

x = \frac{ln ( 1215 )}{3 ln ( 3 )}

Decimal Notation

x = 2.15499 \dots

Solution steps

3^{3 x - 4} = 15

Apply exponent rules

(3 x - 4) ln (3) = ln (15)

Solve

(3 x - 4) ln (3) = ln (15) : x = \frac{ln ( 1215 )}{3 ln ( 3 )}

x = \frac{ln ( 1215 )}{3 ln ( 3 )}

5 6^{3 x - 8} = 1

e^{2 x + 3} - 7 = 0

3^{x + 2} = 63

4^{x + 4} - 4^{x + 3} = 96

e^{x} + 5 e^{- x} = 6

What is the answer to 3^{3x-4}=15 ?
The answer to 3^{3x-4}=15 is x=(ln(1215))/(3ln(3))
Solve for x: 3^{3x-4}=15
The solution is x=(ln(1215))/(3ln(3))