Use The Properties Of Logarithms To Simplify \log_23.2-\log_20.025

Lewis Harvey

Lewis Harvey

Answered question

2021-10-18

Use The Properties Of Logarithms To Simplify
log23.2log20.025

Answer & Explanation

odgovoreh

odgovoreh

Skilled2021-10-19Added 107 answers

Step 1
Logarithms are inverse of exponential functions because logaax=x. So any logarithmic equation can be written into an equivalent exponential equation.
One exponent property of logarithms we will use is ab=bloga One difference property of logarithms that we will use islogalogb=logab We will use the fact that 128=27
Step 2
Expression to be evaluated is log23.2log20.025. Use property of logarithms to simplify this expression.
log23.2log20.025=log2{3.20.025}
=log2128
=log227
=7log22
=71
=7 Hence, the given expression simplifies to 7.
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-03Added 2605 answers

Answer is given below (on video)

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