What is the answer to 5^{2x}=42 ?

The answer to 5^{2x}=42 is x=(ln(42))/(2ln(5))

Solve for x: 5^{2x}=42

The solution is x=(ln(42))/(2ln(5))

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5^{2 x} = 42

x = \frac{ln ( 42 )}{2 ln ( 5 )}

Decimal Notation

x = 1.16117 \dots

Solution steps

5^{2 x} = 42

Apply exponent rules

2 x ln (5) = ln (42)

Solve

2 x ln (5) = ln (42) : x = \frac{ln ( 42 )}{2 ln ( 5 )}

x = \frac{ln ( 42 )}{2 ln ( 5 )}

5^{2 x} = 25

3 = 1.1 2^{x}

4^{2 v} = 64

e^{x} e^{2 x} = 4

2^{3 x} = 11

What is the answer to 5^{2x}=42 ?
The answer to 5^{2x}=42 is x=(ln(42))/(2ln(5))
Solve for x: 5^{2x}=42
The solution is x=(ln(42))/(2ln(5))