Question

express as a single logarithm 2 log x+3 log y- 5 log z​

Answer 1

Answer:

logx^2+logy^3-logz^5

log(x^2*y^3/z^5)

Answer 2

Answer: A single logarithm 2 log x+3 log y- 5 log z​ is  log (x²y³/z⁵)

Step-by-step explanation:

2 log x+3 log y- 5 log z​

in simple terms

log( x²) + log (y³) - log (z⁵)

Using the product property of logarithms

log x + log y = log xy

So, log( x²) + log (y³) - log (z⁵)

⇒ log (x² y³) - log ₍z⁵₎

now , using the quotient property of logarithms

log x - log y = log x/y

⇒  log (x² y³) - log ₍z⁵₎

⇒ log (x²y³/z⁵)

A single logarithm 2 log x+3 log y- 5 log z​ is  log (x²y³/z⁵)

• The product property of logarithms

log x + log y = log xy

• The quotient property of logarithms

log x - log y = log x/y

To know more about logarithms from the given link

https://brainly.in/question/64929

To know more about property of logarithms from the given link

https://brainly.in/question/36929842

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