What is the answer to ln(x+4)=x-1 ?

The answer to ln(x+4)=x-1 is x=-\W_{-1}(-1/(e^5))-4,x=-\W_{0}(-1/(e^5))-4

Solve for x: ln(x+4)=x-1

The solution is x=-\W_{-1}(-1/(e^5))-4,x=-\W_{0}(-1/(e^5))-4

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ln (x + 4) = x - 1

x = - W_{- 1} (- \frac{1}{e ^{5}}) - 4, x = - W_{0} (- \frac{1}{e ^{5}}) - 4

Decimal Notation

x = 2.93684 \dots, x = - 3.99321 \dots

Solution steps

ln (x + 4) = x - 1

f (x) = g (x),

then

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

e^{l n (x + 4)} = e^{x - 1}

Simplify

e^{l n (x + 4)} : x + 4

x + 4 = e^{x - 1}

Solve

x + 4 = e^{x - 1} : x = - W_{- 1} (- \frac{1}{e ^{5}}) - 4, x = - W_{0} (- \frac{1}{e ^{5}}) - 4

x = - W_{- 1} (- \frac{1}{e ^{5}}) - 4, x = - W_{0} (- \frac{1}{e ^{5}}) - 4

Verify Solutions:

x = - W_{- 1} (- \frac{1}{e ^{5}}) - 4

True

, x = - W_{0} (- \frac{1}{e ^{5}}) - 4

True

The solutions are

x = - W_{- 1} (- \frac{1}{e ^{5}}) - 4, x = - W_{0} (- \frac{1}{e ^{5}}) - 4

8 = - lo g_{10} (x)

6 lo g_{7} (- 7 x) = - 6

lo g_{x} (8 - 2 x) = 2

ln (2 x + 1) - ln (x - 1) = 4

lo g_{2} (\frac{x}{2}) = 5

What is the answer to ln(x+4)=x-1 ?
The answer to ln(x+4)=x-1 is x=-\W_{-1}(-1/(e^5))-4,x=-\W_{0}(-1/(e^5))-4
Solve for x: ln(x+4)=x-1
The solution is x=-\W_{-1}(-1/(e^5))-4,x=-\W_{0}(-1/(e^5))-4