If Log 2 = X and Log 3 = Y, Find the Value of Each of the Following on Terms of X and Y: Log1.2 - Mathematics

If log 2 = x and log 3 = y, find the value of each of the following on terms of x and y: log1.2

Sum

log1.2
= `"log"(12/10)`
= log 12 - log 10
= log (2² x 3) - 1
= log 2² + log 3 - 1
= 2 log 2 + log 3 - 1
= 2x + y - 1.

shaalaa.com

Expansion of Expressions with the Help of Laws of Logarithm

Is there an error in this question or solution?

Chapter 10: Logarithms - Exercise 10.2

Chapter 10 Logarithms
Exercise 10.2 | Q 21.2

Given 2 log₁₀ x + 1 = log₁₀ 250, find :
(i) x
(ii) log₁₀ 2x

If log 2 = 0.3010 and log 3 = 0.4771 ; find the value of : log 1.2

If log₁₀ 8 = 0.90; find the value of : log√32

If log₅ x = y, find 5^{2y+ 3} in terms of x.

Express the following in terms of log 5 and/or log 2: log80

Write the logarithmic equation for:

V = `(4)/(3)pi"r"^3`

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

Express the following as a single logarithm:

`2"log"(9)/(5) - 3"log"(3)/(5) + "log"(16)/(20)`

Express the following as a single logarithm:

`"log"(81)/(8) - 2"log"(3)/(5) + 3"log"(2)/(5) + "log"(25)/(9)`

If log 8 = 0.90, find the value of each of the following: `"log"sqrt(32)`