The equation y=bx^{a} can be written as \log y=\log b+a \log x

Nannie Mack

Nannie Mack

Answered question

2021-09-09

The equation y=bxa can be written as logy=logb+alogx

Answer & Explanation

yagombyeR

yagombyeR

Skilled2021-09-10Added 92 answers

Formula used:
Logarithmic product rule: logaxy=logax+logay
Logarithmic power rule: logaxn=nlogax
Calculation:
We have been given that
y=bxa
Take log both sides, we get
logy=log(bxa)
Apply the product rule logaxy=logax+logay
logy=logb+alogx
Therefore,
y=bxa can be written as logy=logb+alogx
Conclusion:
Product rule and Power rule of logarithm are used.
y=bxa Can be written as logy=logb+alogx.

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