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

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

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

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

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5^{5 x + 2} = 45

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

Decimal Notation

x = 0.07304 \dots

Solution steps

5^{5 x + 2} = 45

Apply exponent rules

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

Solve

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

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

5^{x + 1} = 1 0^{x}

2^{x + 2} = 8^{- x + 8}

x, 5 (1.08)^{x} = 20

e^{4 - 4 x} = 6

lo g_{2} (x^{l o g_{2} (x)}) = 4

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