What is the answer to ln(7-x)-ln(10)=ln(x) ?

The answer to ln(7-x)-ln(10)=ln(x) is x= 7/11

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ln(7-x)-ln(10)=ln(x)

ln (7 - x) - ln (10) = ln (x)

x = \frac{7}{11}

Decimal Notation

x = 0.63636 \dots

Solution steps

ln (7 - x) - ln (10) = ln (x)

Add

ln (10)

to both sides

ln (7 - x) - ln (10) + ln (10) = ln (x) + ln (10)

Simplify

ln (7 - x) = ln (x) + ln (10)

Apply log rules

7 - x = x \cdot 10

Solve

7 - x = x \cdot 10 : x = \frac{7}{11}

x = \frac{7}{11}

Verify Solutions:

x = \frac{7}{11}

True

The solution is

x = \frac{7}{11}

lo g_{8} (x - 3) + lo g_{8} (x + 4) = 1

ln (x) = - \frac{1}{2}

ln (x) + ln (x + 1) = 1

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

lo g_{2} (x) + lo g_{2} (x + 1) = 1

What is the answer to ln(7-x)-ln(10)=ln(x) ?
The answer to ln(7-x)-ln(10)=ln(x) is x= 7/11
Solve for x: ln(7-x)-ln(10)=ln(x)
The solution is x= 7/11