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Popular >

8e^{7.5x+9}+2.5=32

Solution

8 e^{7.5 x + 9} + 2.5 = 32

Solution

x = \frac{ln ( 3.6875 ) - 9}{7.5}

+1

Decimal Notation

x = - 1.02600 \dots

Solution steps

8 e^{7.5 x + 9} + 2.5 = 32

Move

2.5

to the right side

8 e^{7.5 x + 9} = 29.5

Divide both sides by

8

e^{7.5 x + 9} = 3.6875

Apply exponent rules

7.5 x + 9 = ln (3.6875)

Solve

7.5 x + 9 = ln (3.6875) : x = \frac{ln ( 3.6875 ) - 9}{7.5}

x = \frac{ln ( 3.6875 ) - 9}{7.5}

Popular Examples

9^{x} = 2 7^{82}

8^y*4^{y^2-8}=16

8^{y} \cdot 4^{y^{2} - 8} = 16

4^{5 x - 5} = \frac{1}{16}

5^{x-2}+5^{x+1}=126

5^{x - 2} + 5^{x + 1} = 126

solvefor x,4e^{2x}=12 solve for

x, 4 e^{2 x} = 12

Frequently Asked Questions (FAQ)

What is the answer to 8e^{7.5x+9}+2.5=32 ?
The answer to 8e^{7.5x+9}+2.5=32 is x=(ln(3.6875)-9)/(7.5)