What is the answer to n(x)=3.5ln(x+1) ?

The answer to n(x)=3.5ln(x+1) is x=-(7\W(-(2n)/(7e^{\frac{2n)/7)})+2n}{2n}

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n(x)=3.5ln(x+1)

n (x) = 3.5 ln (x + 1)

x = - \frac{7 W ( - \frac{2 n}{7 e ^{\frac{2 n}{7}}} ) + 2 n}{2 n}

Solution steps

n (x) = 3.5 ln (x + 1)

Switch sides

3.5 ln (x + 1) = n x

Multiply both sides by

10

35 ln (x + 1) = n x \cdot 10

Divide both sides by

35

ln (x + 1) = \frac{2 n x}{7}

f (x) = g (x),

then

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

e^{l n (x + 1)} = e^{\frac{2 n x}{7}}

Simplify

e^{l n (x + 1)} : x + 1

x + 1 = e^{\frac{2 n x}{7}}

Solve

x + 1 = e^{\frac{2 n x}{7}} : x = - \frac{7 W ( - \frac{2 n}{7 e ^{\frac{2 n}{7}}} ) + 2 n}{2 n}

x = - \frac{7 W ( - \frac{2 n}{7 e ^{\frac{2 n}{7}}} ) + 2 n}{2 n}

Verify Solutions:

x = - \frac{7 W ( - \frac{2 n}{7 e ^{\frac{2 n}{7}}} ) + 2 n}{2 n}

True

The solution is

x = - \frac{7 W ( - \frac{2 n}{7 e ^{\frac{2 n}{7}}} ) + 2 n}{2 n}

\frac{lo g _{10} ( 10 - x ^{2} )}{lo g _{10} ( 5 - 2 x )} = 2

3 - lo g_{3} (p) = lo g_{p} (9)

800 = 24 x + ln (\frac{x}{45})

lo g_{2} (x) = 2022

y, x = 2 + ln (y + 3)

What is the answer to n(x)=3.5ln(x+1) ?
The answer to n(x)=3.5ln(x+1) is x=-(7\W(-(2n)/(7e^{\frac{2n)/7)})+2n}{2n}