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 10: Logarithms - Exercise 10.2

पाठ 10 Logarithms
Exercise 10.2 | Q 2.2

If log (a + b) = log a + log b, find a in terms of b.

Prove that : (log a)² - (log b)² = log `(( a )/( b ))` . Log (ab)

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

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

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

Express the following as a single logarithm:

`2"log" (16)/(25) - 3 "log" (8)/(5) + "log" 90`

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

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

If log 2 = x and log 3 = y, find the value of each of the following on terms of x and y: log60

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