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Popular >

7+15e^{1-3x}=37

Solution

7 + 15 e^{1 - 3 x} = 37

Solution

x = \frac{- ln ( 2 ) + 1}{3}

+1

Decimal Notation

x = 0.10228 \dots

Solution steps

7 + 15 e^{1 - 3 x} = 37

Move

7

to the right side

15 e^{1 - 3 x} = 30

Divide both sides by

15

e^{1 - 3 x} = 2

Apply exponent rules

1 - 3 x = ln (2)

Solve

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

x = \frac{- ln ( 2 ) + 1}{3}

Popular Examples

4^{x+3}=8^{x-2}

4^{x + 3} = 8^{x - 2}

(6^{2n-4})/(a^{2-n)}=9^x

\frac{6 ^{2 n - 4}}{a ^{2 - n}} = 9^{x}

4^{x} + 2^{x} - 20 = 0

3^{2x}-10(3^{x-1})+1=0

3^{2 x} - 10 (3^{x - 1}) + 1 = 0

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

Frequently Asked Questions (FAQ)

What is the answer to 7+15e^{1-3x}=37 ?
The answer to 7+15e^{1-3x}=37 is x=(-ln(2)+1)/3