Express the Following in Terms of Log 5 And/Or Log 2: Log250 - Mathematics

Express the following in terms of log 5 and/or log 2: log250

Sum

log250
= log (5³ x 2)
= log 5³ + log2
= 3log 5 + log2.

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 2.6

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

Given: log₃ m = x and log₃ n = y.
Express 3^{2x - 3} in terms of m.

Express the following in terms of log 2 and log 3: `"log" root(4)(648)`

Express the following in terms of log 2 and log 3: `"log"(26)/(51) - "log"(91)/(119)`

Express the following in terms of log 2 and log 3: `"log"(225)/(16) - 2"log"(5)/(9) + "log"(2/3)^5`

Express the following as a single logarithm:

`2"log"(15)/(18) - "log"(25)/(162) + "log"(4)/(9)`

If log₁₀25 = x and log₁₀27 = y; evaluate without using logarithmic tables, in terms of x and y: log₁₀5

If log₁₀25 = x and log₁₀27 = y; evaluate without using logarithmic tables, in terms of x and y: log₁₀3

If log 4 = 0.6020, find the value of each of the following: log2.5

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