Express the Following in Terms of Log 5 And/Or Log 2: Log80

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

बेरीज

log80
= log (2⁴ x 5)
= log 2⁴ + log 5
= 4 log 2 + log 5.

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Expansion of Expressions with the Help of Laws of Logarithm

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पाठ 7: Logarithms - Exercise 10.2

पाठ 7 Logarithms
Exercise 10.2 | Q 2.2

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 0.125

If log 27 = 1.431, find the value of : log 9

Prove that : If a log b + b log a - 1 = 0, then b^a. a^b = 10

Given: log₃ m = x and log₃n = y.

Write down `3^(1 - 2y + 3x)` in terms of m and n.

Express the following as a single logarithm:
log 18 + log 25 - log 30

Express the following as a single logarithm:

`2 + 1/2 "log" 9 - 2 "log" 5`

Express the following as a single logarithm:

`3"log"(5)/(8) + 2"log"(8)/(15) - (1)/(2)"log"(25)/(81) + 3`

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: `"log"2(1)/(4)`

If 2 log x + 1 = 40, find: x