What is the answer to 10=(50)/(ln(q+1)) ?

The answer to 10=(50)/(ln(q+1)) is q=e^5-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

10=(50)/(ln(q+1))

10 = \frac{50}{ln ( q + 1 )}

q = e^{5} - 1

Decimal Notation

q = 147.41315 \dots

Solution steps

10 = \frac{50}{ln ( q + 1 )}

Rewrite the equation with

ln (q + 1) = u

10 = \frac{50}{u}

Solve

10 = \frac{50}{u} : u = 5

u = 5

Substitute back

u = ln (q + 1),

solve for

q

Solve

ln (q + 1) = 5 : q = e^{5} - 1

q = e^{5} - 1

Verify Solutions:

q = e^{5} - 1

True

The solution is

q = e^{5} - 1

lo g_{10} (x) + 3 = 5

lo g_{2} (4 \cdot x) = 10

lo g_{6} (2 x - 1) = 3

(ln (x))^{2} - ln (x^{7}) + 12 = 0

lo g_{7} (x + 4) - lo g_{7} (x) = 3

What is the answer to 10=(50)/(ln(q+1)) ?
The answer to 10=(50)/(ln(q+1)) is q=e^5-1
Solve for q: 10=(50)/(ln(q+1))
The solution is q=e^5-1