What is the solution for this equation?

In(x+6)-in(2x-1)=0

answers in the image!

x=7

Step-by-step explanation:

ln(x+6)-ln(2x-1)=0

add ln(2x-1) to each side

ln(x+6) = ln(2x-1)

Raise each side to the base e

e^ln(x+6) = e^ln(2x-1)

x+6 = 2x-1

Subtract x from each side

x+6-x = 2x-1-x

6 = x-1

Add 1 to each side

6+1 = x-1+1

7=x

1) 10 cm² dilated by a factor of 2. 10cm² x 2² = 10cm² x 4 = 40cm² area of the dilated image

2) 1000 ft³ dilated by a factor of 1.5 = 1000ft³ x 1.5³ = 1000ft³ x 3.375 = 3,375 ft³ volume of the scaled image

3) 615.6mm³ ÷ 22.8mm³ = 27  ⇒ ∛27 = 3 is the factor

4) 875in³ dilated by a factor of 1/5 = 875in³ x (1/5)³ = 875in³ x 1/125 = 875 in³ / 125 = 7 in³ volume of the scaled image