What is the answer to 10^{4x}=101 ?

The answer to 10^{4x}=101 is x=(ln(101))/(4ln(10))

Solve for x: 10^{4x}=101

The solution is x=(ln(101))/(4ln(10))

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1 0^{4 x} = 101

x = \frac{ln ( 101 )}{4 ln ( 10 )}

Decimal Notation

x = 0.50108 \dots

Solution steps

1 0^{4 x} = 101

Apply exponent rules

4 x ln (10) = ln (101)

Solve

4 x ln (10) = ln (101) : x = \frac{ln ( 101 )}{4 ln ( 10 )}

x = \frac{ln ( 101 )}{4 ln ( 10 )}

5^{x + 2} + 5^{x + 1} = 150

1 0^{x} = 5^{3 x + 2}

2^{x} \cdot \frac{1}{4} = 8^{x - 1}

6 = 1 3^{w}

9^{x} - 7 \cdot 3^{x} - 18 = 0

What is the answer to 10^{4x}=101 ?
The answer to 10^{4x}=101 is x=(ln(101))/(4ln(10))
Solve for x: 10^{4x}=101
The solution is x=(ln(101))/(4ln(10))