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Popular >

4e^{3x+3}-7=53

Solution

4 e^{3 x + 3} - 7 = 53

Solution

x = \frac{ln ( 15 ) - 3}{3}

+1

Decimal Notation

x = - 0.09731 \dots

Solution steps

4 e^{3 x + 3} - 7 = 53

Move

7

to the right side

4 e^{3 x + 3} = 60

Divide both sides by

4

e^{3 x + 3} = 15

Apply exponent rules

3 x + 3 = ln (15)

Solve

3 x + 3 = ln (15) : x = \frac{ln ( 15 ) - 3}{3}

x = \frac{ln ( 15 ) - 3}{3}

Popular Examples

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0 = e^{x} x^{2} (x^{2} + x - 6)

3^{3 x} = 81

5^{x+2}-5^x+5^{x-1}=121

5^{x + 2} - 5^{x} + 5^{x - 1} = 121

3\times 2^{2x}-10(2)^x=0

3 \times 2^{2 x} - 10 (2)^{x} = 0

16^{3x-3}=64^{x+3}

1 6^{3 x - 3} = 6 4^{x + 3}

Frequently Asked Questions (FAQ)

What is the answer to 4e^{3x+3}-7=53 ?
The answer to 4e^{3x+3}-7=53 is x=(ln(15)-3)/3