Simplify expression using the properties of logarithms \log_53k+\log_57k^3

dolovatgyp

dolovatgyp

Answered question

2022-04-26

Simplify expression using the properties of logarithms
log53k+log57k3

Answer & Explanation

Isla Preston

Isla Preston

Beginner2022-04-27Added 12 answers

According to the product rule of logarithm, logax+logay=logaxy.
So, use the product rule of logarithm to combine the logarithm terms.
log53k+log57k3=log5(3k7k3)
Now, simplify the expression as follows:
log5(3k7k3)=log521k4
Therefore, log53k+log57k3=log521k4.

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