How do you solve log (x + 10) – log(x) – 2log (5)?Class:  9

# How do you solve log (x + 10) – log(x) – 2log (5)?Class:  9

1. A
2. B
3. C
4. D

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

Our first step is to rewrite the equation using same laws of logarithm specifically
. This law allow us to rewrite the left hand side of the equation as log Another law of logarithms A log B = log BA allows us to rewrite the right hand side Now you didn't specify a base for the log function here, so I will assume that log means base – 2 logarithm. Still, whatever the base is 2, 10, e, or, Whatever, it actually docent matter the oniums will be the same. You why is a moment.
Raise 2 to both sides:
the exponential and the logarithm are linear functions, so the base –2 and the logarithm will cancel
Four here, we find need to use some simple algebra, multiplying both sides by x And them subtracting x from both sides:
10 = 24x
And them simplify to arrive at our final also x

## Related content

 Area of Square Area of Isosceles Triangle Pythagoras Theorem Triangle Formula Perimeter of Triangle Formula Area Formulae Volume of Cone Formula Matrices and Determinants_mathematics Critical Points Solved Examples Type of relations_mathematics

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)