If 2 Log Y - Log X - 3 = 0, Express X in Terms of Y.

If 2 log y - log x - 3 = 0, express x in terms of y.

बेरीज

2log - logx - 3 = 0
⇒ logx = 2logy - 3
⇒ logx = logy²- 3log10 ...[∵ log10 = 1]
⇒ logx = logy²- log10³
⇒ logx = `"log"(y^2/1000)`
∴ x = `y^2/(1000)`.

shaalaa.com

Expansion of Expressions with the Help of Laws of Logarithm

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

पाठ 7: Logarithms - Exercise 10.2

पाठ 7 Logarithms
Exercise 10.2 | Q 20

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

If log 2 = 0.3010 and log 3 = 0.4771; find the value of : log 15

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

Prove that:

log₁₀ 125 = 3(1 - log₁₀2).

Express the following in terms of log 5 and/or log 2: log125

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

Express the following as a single logarithm:

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

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 12

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

Find the value of:

`("log"sqrt(8))/(8)`