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Popular >

(1025)/(8+e^{4x)}=5

Solution

\frac{1025}{8 + e ^{4 x}} = 5

Solution

x = \frac{ln ( 197 )}{4}

+1

Decimal Notation

x = 1.32080 \dots

Solution steps

\frac{1025}{8 + e ^{4 x}} = 5

Multiply both sides by

8 + e^{4 x}

\frac{1025}{8 + e ^{4 x}} (8 + e^{4 x}) = 5 (8 + e^{4 x})

Simplify

1025 = 5 (8 + e^{4 x})

Switch sides

5 (8 + e^{4 x}) = 1025

Divide both sides by

5

8 + e^{4 x} = 205

Move

8

to the right side

e^{4 x} = 197

Apply exponent rules

4 x = ln (197)

Solve

4 x = ln (197) : x = \frac{ln ( 197 )}{4}

x = \frac{ln ( 197 )}{4}

Verify Solutions:

x = \frac{ln ( 197 )}{4}

True

The solution is

x = \frac{ln ( 197 )}{4}

Popular Examples

4^{x} = 9 (5^{x})

solvefor x,y=(x+F)e^{-x}solve for

x, y = (x + F) e^{- x}

3.4e^{2-2n}-9=-4

3.4 e^{2 - 2 n} - 9 = - 4

8 1^{5 x - 2} = 1

27 \cdot 27 = 9^{x}

Frequently Asked Questions (FAQ)

What is the answer to (1025)/(8+e^{4x)}=5 ?
The answer to (1025)/(8+e^{4x)}=5 is x=(ln(197))/4