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Popular >

25^x= e/(5^{3x)}

Solution

2 5^{x} = \frac{e}{5 ^{3 x}}

Solution

x = \frac{1}{5 ln ( 5 )}

+1

Decimal Notation

x = 0.12426 \dots

Solution steps

2 5^{x} = \frac{e}{5 ^{3 x}}

Apply exponent rules

2 x ln (5) = ln (e) - 3 x ln (5)

Solve

2 x ln (5) = ln (e) - 3 x ln (5) : x = \frac{1}{5 ln ( 5 )}

x = \frac{1}{5 ln ( 5 )}

Verify Solutions:

x = \frac{1}{5 ln ( 5 )}

True

The solution is

x = \frac{1}{5 ln ( 5 )}

Popular Examples

\sqrt[7]{2^{3x-1}}=32

2^{3 x} = 10

3^{x} = 10

5^{x} = 7

2 5^{x} = 125

Frequently Asked Questions (FAQ)

What is the answer to 25^x= e/(5^{3x)} ?
The answer to 25^x= e/(5^{3x)} is x= 1/(5ln(5))