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

बेरीज

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

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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 2.6

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

If log (a + 1) = log (4a - 3) - log 3; find a.

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

Simplify : log (a)³ - log a

Simplify : log (a)³÷ log a

Write the logarithmic equation for:

V = `(1)/("D"l) sqrt("T"/(pi"r")`

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`

Simplify the following:

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

If 2 log x + 1 = 40, find: log 5x