Write the expression as a single logarithm 6\log_5(x-3)-4\log_5(x+4)

deliredejoker7m

deliredejoker7m

Answered question

2021-11-09

Write the expression as a single logarithm
6log5(x3)4log5(x+4)

Answer & Explanation

Volosoyx

Volosoyx

Beginner2021-11-10Added 10 answers

Step 1
To express the given quantity as the logarithm of a single expression
Step 2
Recall the basic facts regarding logarithms. All logs are to the same base (say 5 ,as in this problem)
mlogx=logxm
logpq=logplogq
Step 3 mlogx=logxm
So, 6log(x3)=log(x3)6
4log(x+4)=log(x+4)4
Step 4
ANSWER: GIven expression has been expressed as the log (to base 5) of a single term
logpq=logplogq
So, log(x3)6log(x+4)4
=log(x3)6(x+4)4

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