Solving for the value inside a base 10 logarithm I have an equation of log(d)=(−x−A)/(10n) that I need to solve for d. How do I "reverse" the logarithm to obtain d? I apologize if this is super easy,

Mariyah Bell

Mariyah Bell

Answered question

2022-10-13

Solving for the value inside a base 10 logarithm
I have an equation of log ( d ) = ( x A ) / ( 10 n ) that I need to solve for d d. How do I "reverse" the logarithm to obtain d? I apologize if this is super easy, I just can't even figure out how to Google it!

Answer & Explanation

Ramiro Sosa

Ramiro Sosa

Beginner2022-10-14Added 13 answers

Logarithms are the inverse of exponents, so keep that in mind. An inverse of 10 raised to a power is a base-10 logarithm. So to get d out of the log, you can do so by using both sides of the equation as an exponent of 10.
10 log  d = 10 (  x  A ) / ( 10 n ) 
and 10 log  d = d
and 10 log  d = d

Chelsea Pruitt

Chelsea Pruitt

Beginner2022-10-15Added 5 answers

The phrase can be rewritten as 10 n  l o g 10 d =  x  A
or,
d 10 n = 1 10 x + A 
Could you continue from here?

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