What is the answer to 900=(4000)/(ln(x+10)) ?

The answer to 900=(4000)/(ln(x+10)) is x=e^{40/9}-10

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900=(4000)/(ln(x+10))

900 = \frac{4000}{ln ( x + 10 )}

x = e^{\frac{40}{9}} - 10

Decimal Notation

x = 75.15255 \dots

Solution steps

900 = \frac{4000}{ln ( x + 10 )}

Rewrite the equation with

ln (x + 10) = u

900 = \frac{4000}{u}

Solve

900 = \frac{4000}{u} : u = \frac{40}{9}

u = \frac{40}{9}

Substitute back

u = ln (x + 10),

solve for

x

Solve

ln (x + 10) = \frac{40}{9} : x = e^{\frac{40}{9}} - 10

x = e^{\frac{40}{9}} - 10

Verify Solutions:

x = e^{\frac{40}{9}} - 10

True

The solution is

x = e^{\frac{40}{9}} - 10

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

ln (3 x + 2) + ln (x - 1) = 1

0.45 = lo g_{10} (x)

lo g_{x} (64) = 1

lo g_{10} (x) = ln (x)

What is the answer to 900=(4000)/(ln(x+10)) ?
The answer to 900=(4000)/(ln(x+10)) is x=e^{40/9}-10
Solve for x: 900=(4000)/(ln(x+10))
The solution is x=e^{40/9}-10