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Popular >

ln(e^x-5)=3

Solution

ln (e^{x} - 5) = 3

Solution

x = ln (e^{3} + 5)

+1

Decimal

x = 3.22229 \dots

Solution steps

ln (e^{x} - 5) = 3

Rewrite the equation with

e^{x} = u

ln (u - 5) = 3

Solve

ln (u - 5) = 3 : u = e^{3} + 5

u = e^{3} + 5

Substitute back

u = e^{x},

solve for

x

Solve

e^{x} = e^{3} + 5 : x = ln (e^{3} + 5)

x = ln (e^{3} + 5)

Graph

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Frequently Asked Questions (FAQ)

What is the answer to ln(e^x-5)=3 ?
The answer to ln(e^x-5)=3 is x=ln(e^3+5)