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Popular >

(e^{4x+7})/3+1=12

Solution

\frac{e ^{4 x + 7}}{3} + 1 = 12

Solution

x = \frac{ln ( 33 ) - 7}{4}

+1

Decimal

x = - 0.87587 \dots

Solution steps

\frac{e ^{4 x + 7}}{3} + 1 = 12

Multiply both sides by

3

\frac{e ^{4 x + 7}}{3} \cdot 3 + 1 \cdot 3 = 12 \cdot 3

Simplify

e^{4 x + 7} + 3 = 36

Move

3

to the right side

e^{4 x + 7} = 33

Apply exponent rules

4 x + 7 = ln (33)

Solve

4 x + 7 = ln (33) : x = \frac{ln ( 33 ) - 7}{4}

x = \frac{ln ( 33 ) - 7}{4}

Graph

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16^x-17\times 4^x+16=0

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Frequently Asked Questions (FAQ)

What is the answer to (e^{4x+7})/3+1=12 ?
The answer to (e^{4x+7})/3+1=12 is x=(ln(33)-7)/4