What is the answer to 2^{5x+3}=10 ?

The answer to 2^{5x+3}=10 is x=(ln(5/4))/(5ln(2))

Solve for x: 2^{5x+3}=10

The solution is x=(ln(5/4))/(5ln(2))

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2^{5 x + 3} = 10

x = \frac{ln ( \frac{5}{4} )}{5 ln ( 2 )}

Decimal Notation

x = 0.06438 \dots

Solution steps

2^{5 x + 3} = 10

Apply exponent rules

(5 x + 3) ln (2) = ln (10)

Solve

(5 x + 3) ln (2) = ln (10) : x = \frac{ln ( \frac{5}{4} )}{5 ln ( 2 )}

x = \frac{ln ( \frac{5}{4} )}{5 ln ( 2 )}

2^{x + 1} = 3^{2 x - 4}

3^{x - 1} = 5

(b^{2 x - 5})^{4} = (b^{x + 5})^{3}

e^{5 x} = 20

10 0^{x} = 10

What is the answer to 2^{5x+3}=10 ?
The answer to 2^{5x+3}=10 is x=(ln(5/4))/(5ln(2))
Solve for x: 2^{5x+3}=10
The solution is x=(ln(5/4))/(5ln(2))