What is the answer to 4(10)^x=20 ?

The answer to 4(10)^x=20 is x=(ln(5))/(ln(10))

Solve for x: 4(10)^x=20

The solution is x=(ln(5))/(ln(10))

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4 (10)^{x} = 20

x = \frac{ln ( 5 )}{ln ( 10 )}

Decimal Notation

x = 0.69897 \dots

Solution steps

4 (10)^{x} = 20

Divide both sides by

4

1 0^{x} = 5

Apply exponent rules

x ln (10) = ln (5)

Solve

x ln (10) = ln (5) : x = \frac{ln ( 5 )}{ln ( 10 )}

x = \frac{ln ( 5 )}{ln ( 10 )}

2 e^{2 x + 7} - 15 = 0

e^{3 x} = 4

6^{x - 2} = 36

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

1 0^{1 - x} = \frac{1}{10}

What is the answer to 4(10)^x=20 ?
The answer to 4(10)^x=20 is x=(ln(5))/(ln(10))
Solve for x: 4(10)^x=20
The solution is x=(ln(5))/(ln(10))