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

The answer to 5^{3x+4}=45 is x=(ln(9/125))/(3ln(5))

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

The solution is x=(ln(9/125))/(3ln(5))

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5^{3 x + 4} = 45

x = \frac{ln ( \frac{9}{125} )}{3 ln ( 5 )}

Decimal Notation

x = - 0.54492 \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 ( \frac{9}{125} )}{3 ln ( 5 )}

x = \frac{ln ( \frac{9}{125} )}{3 ln ( 5 )}

2 \cdot 5^{x + 1} = 250

4^{9 x + 4} = 3

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

y, e^{- e^{- y}} = 1 - 0.05

e^{2 x} - 9 e^{x} + 8 = 0

What is the answer to 5^{3x+4}=45 ?
The answer to 5^{3x+4}=45 is x=(ln(9/125))/(3ln(5))
Solve for x: 5^{3x+4}=45
The solution is x=(ln(9/125))/(3ln(5))