What is the answer to 4(5^x)=10 ?

The answer to 4(5^x)=10 is x=(ln(5/2))/(ln(5))

Solve for x: 4(5^x)=10

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

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4 (5^{x}) = 10

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

Decimal Notation

x = 0.56932 \dots

Solution steps

4 (5^{x}) = 10

Divide both sides by

4

5^{x} = \frac{5}{2}

Apply exponent rules

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

Solve

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

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

5^{x + 1} + 4 (5^{x}) = 45

12 5^{2 x + 5} = 62 5^{x + 4}

a, 5^{a} = b

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