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

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

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

The solution is x=(ln(10))/(3ln(2))

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2^{3 x} = 10

x = \frac{ln ( 10 )}{3 ln ( 2 )}

Decimal Notation

x = 1.10730 \dots

Solution steps

2^{3 x} = 10

Apply exponent rules

3 x ln (2) = ln (10)

Solve

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

x = \frac{ln ( 10 )}{3 ln ( 2 )}

3^{x} = 10

5^{x} = 7

2 5^{x} = 125

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

2^{n} = 1000

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