Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Need help ASAP

logx = 7
logy = 2
logz = 5

Find log[tex]\frac{x^2\sqrt{z} }{y^3}[/tex]


Sagot :

Using some logarithmic properties, we will see that the solution of the logarithmic equation is 10.5

How to find the value of the logarithm?

Here we have some properties that you need to remember.

log(A*B) = log(A) + log(B)

log(A/B) = log(A)  - log(B)

log(Aⁿ) = n*log(A)

Then we can rewrite our equation as:

[log(x²) + log(√z)] - log(y³)

Now, remember that a square root is equal to an exponent of 0.5, then:

[log(x²) + log(√z)] - log(y³) = 2*log(x) + 0.5*log(z) - 3*log(y)

Now we can replace the logarithms by the given values:

2*log(x) + 0.5*log(z) - 3*log(y)

2*7 + 0.5*5 - 3*2 = 10.5

The solution of the logarithmic equation is 10.5

If you want to learn more about logarithms:

https://brainly.com/question/13473114

#SPJ1