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Popular >

35-12e^{5-4x}=0

Solution

35 - 12 e^{5 - 4 x} = 0

Solution

x = \frac{- ln ( \frac{35}{12} ) + 5}{4}

+1

Decimal Notation

x = 0.98238 \dots

Solution steps

35 - 12 e^{5 - 4 x} = 0

Add

12 e^{5 - 4 x}

to both sides

35 - 12 e^{5 - 4 x} + 12 e^{5 - 4 x} = 0 + 12 e^{5 - 4 x}

Simplify

35 = 12 e^{5 - 4 x}

Switch sides

12 e^{5 - 4 x} = 35

Divide both sides by

12

e^{5 - 4 x} = \frac{35}{12}

Apply exponent rules

5 - 4 x = ln (\frac{35}{12})

Solve

5 - 4 x = ln (\frac{35}{12}) : x = \frac{- ln ( \frac{35}{12} ) + 5}{4}

x = \frac{- ln ( \frac{35}{12} ) + 5}{4}

Popular Examples

2-3^x+3^{x+1}=0

2 - 3^{x} + 3^{x + 1} = 0

125^{x-1}=25^{3x}

12 5^{x - 1} = 2 5^{3 x}

3^{5 x - 3} = 24

\frac{1}{2 ^{- 3 x}} = 8

1 5^{x - 1} = 1875

Frequently Asked Questions (FAQ)

What is the answer to 35-12e^{5-4x}=0 ?
The answer to 35-12e^{5-4x}=0 is x=(-ln(35/12)+5)/4