Question

evaluate log 50+log 75-log 30
​

Answer 1

Answer:

log2=0.3010

log3=0.4771

log5=0.6989

Answer 2

Given,

The values of log and the equation to calculate.

To find,

The solution to the equation

Solution,

Assuming that all the bases of the log are common,

We will use the product property of log, which states that,

logₐ(XY) = logₐ X + logₐ Y

log 50 + log 75 - log 30

= log(5×10) + log(5×5×3) - log(3×10)

= log 5 + log 10 + log 5 + log 5+ log 3 - (log 3 + log 10)

= 3log 5 + log 10 +log 3 - log 10 - log 3

=3 log 5

Now using the power property of log which states that logₐ Xⁿ = n logₐ X

= log 5³

= log 125 or 2.0969

Hence, the answer to the question is log 125 or 2.0969