What is the answer to 5^{3x+2}=45 ?

The answer to 5^{3x+2}=45 is x=(ln(9/5))/(3ln(5))

Solve for x: 5^{3x+2}=45

The solution is x=(ln(9/5))/(3ln(5))

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5^{3 x + 2} = 45

x = \frac{ln ( \frac{9}{5} )}{3 ln ( 5 )}

Decimal Notation

x = 0.12173 \dots

Solution steps

5^{3 x + 2} = 45

Apply exponent rules

(3 x + 2) ln (5) = ln (45)

Solve

(3 x + 2) ln (5) = ln (45) : x = \frac{ln ( \frac{9}{5} )}{3 ln ( 5 )}

x = \frac{ln ( \frac{9}{5} )}{3 ln ( 5 )}

1 2^{2 x} = 4 \cdot 3^{x + 1}

6^{(x + 2)} = 21

3^{2 - x} = \frac{1}{81}

e^{x} = 2 x + 3

2^{3 x - 4} = 10

What is the answer to 5^{3x+2}=45 ?
The answer to 5^{3x+2}=45 is x=(ln(9/5))/(3ln(5))
Solve for x: 5^{3x+2}=45
The solution is x=(ln(9/5))/(3ln(5))