What is the answer to 5^{3x-4}=45 ?

The answer to 5^{3x-4}=45 is x=(ln(45)+4ln(5))/(3ln(5))

Solve for x: 5^{3x-4}=45

The solution is x=(ln(45)+4ln(5))/(3ln(5))

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5^{3 x - 4} = 45

x = \frac{ln ( 45 ) + 4 ln ( 5 )}{3 ln ( 5 )}

Decimal Notation

x = 2.12173 \dots

Solution steps

5^{3 x - 4} = 45

Apply exponent rules

(3 x - 4) ln (5) = ln (45)

Solve

(3 x - 4) ln (5) = ln (45) : x = \frac{ln ( 45 ) + 4 ln ( 5 )}{3 ln ( 5 )}

x = \frac{ln ( 45 ) + 4 ln ( 5 )}{3 ln ( 5 )}

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

8^{2 x} - 10 (8^{x}) + 16 = 0

1 6^{x} = \frac{1}{8}

2^{x} \cdot 3^{x} = 216

e^{7 x} = 7 e^{x}

What is the answer to 5^{3x-4}=45 ?
The answer to 5^{3x-4}=45 is x=(ln(45)+4ln(5))/(3ln(5))
Solve for x: 5^{3x-4}=45
The solution is x=(ln(45)+4ln(5))/(3ln(5))