What is the answer to ln(x+8)=x+5 ?

The answer to ln(x+8)=x+5 is x=-\W_{-1}(-1/(e^3))-8,x=-\W_{0}(-1/(e^3))-8

Solve for x: ln(x+8)=x+5

The solution is x=-\W_{-1}(-1/(e^3))-8,x=-\W_{0}(-1/(e^3))-8

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ln (x + 8) = x + 5

x = - W_{- 1} (- \frac{1}{e ^{3}}) - 8, x = - W_{0} (- \frac{1}{e ^{3}}) - 8

Decimal Notation

x = - 3.49475 \dots, x = - 7.94753 \dots

Solution steps

ln (x + 8) = x + 5

f (x) = g (x),

then

a^{f (x)} = a^{g (x)}

e^{l n (x + 8)} = e^{x + 5}

Simplify

e^{l n (x + 8)} : x + 8

x + 8 = e^{x + 5}

Solve

x + 8 = e^{x + 5} : x = - W_{- 1} (- \frac{1}{e ^{3}}) - 8, x = - W_{0} (- \frac{1}{e ^{3}}) - 8

x = - W_{- 1} (- \frac{1}{e ^{3}}) - 8, x = - W_{0} (- \frac{1}{e ^{3}}) - 8

Verify Solutions:

x = - W_{- 1} (- \frac{1}{e ^{3}}) - 8

True

, x = - W_{0} (- \frac{1}{e ^{3}}) - 8

True

The solutions are

x = - W_{- 1} (- \frac{1}{e ^{3}}) - 8, x = - W_{0} (- \frac{1}{e ^{3}}) - 8

lo g_{2} (100) = n - 2 lo g_{2} (n)

ln (7) = ln (q^{2}) + 5 - ln (10)

lo g_{10} (x) = 130

x, ln (y) = x + ln (x - 5) + c

lo g_{5} (1 lo g_{3} (x)) = 0

What is the answer to ln(x+8)=x+5 ?
The answer to ln(x+8)=x+5 is x=-\W_{-1}(-1/(e^3))-8,x=-\W_{0}(-1/(e^3))-8
Solve for x: ln(x+8)=x+5
The solution is x=-\W_{-1}(-1/(e^3))-8,x=-\W_{0}(-1/(e^3))-8