Express the Following in Terms of Log 5 And/Or Log 2: Log125

Express the following in terms of log 5 and/or log 2: log125

Sum

log125
= log 5³
= 3 log 5.

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Expansion of Expressions with the Help of Laws of Logarithm

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Chapter 7: Logarithms - Exercise 10.2

Chapter 7 Logarithms
Exercise 10.2 | Q 2.3

Given: log₃ m = x and log₃ n = y.
If 2 log₃ A = 5x - 3y; find A in terms of m and n.

Given log x = 2m - n , log y = n - 2m and log z = 3m - 2n , find in terms of m and n, the value of log `(x^2y^3 ) /(z^4) `.

Express the following in terms of log 5 and/or log 2: log20

Express the following in terms of log 2 and log 3: `"log" root(3)(144)`

Write the logarithmic equation for:

E = `(1)/(2)"m v"^2`

Express the following as a single logarithm:
log 144 - log 72 + log 150 - log 50

Simplify the following:

`3"log" (32)/(27) + 5 "log"(125)/(24) - 3"log" (625)/(243) + "log" (2)/(75)`

If log x = A + B and log y = A-B, express the value of `"log" x^2/(10y)` in terms of A and B.

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: `"log" sqrt(72)`

Simplify: log b ÷ log b²