What is the answer to 2.5^x=6.4 ?

The answer to 2.5^x=6.4 is x=(ln(6.4))/(ln(2.5))

Solve for x: 2.5^x=6.4

The solution is x=(ln(6.4))/(ln(2.5))

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2. 5^{x} = 6.4

x = \frac{ln ( 6.4 )}{ln ( 2.5 )}

Decimal Notation

x = 2.02588 \dots

Solution steps

2. 5^{x} = 6.4

Apply exponent rules

x ln (2.5) = ln (6.4)

Solve

x ln (2.5) = ln (6.4) : x = \frac{ln ( 6.4 )}{ln ( 2.5 )}

x = \frac{ln ( 6.4 )}{ln ( 2.5 )}

6^{x + 3} = 8^{x - 1}

160 \cdot e^{x} - x = 0

x, lo g_{3} (7^{5 x}) = 10

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

What is the answer to 2.5^x=6.4 ?
The answer to 2.5^x=6.4 is x=(ln(6.4))/(ln(2.5))
Solve for x: 2.5^x=6.4
The solution is x=(ln(6.4))/(ln(2.5))