Express the Following in Terms of Log 5 And/Or Log 2: Log160 - Mathematics

Express the following in terms of log 5 and/or log 2: log160

योग

log160
= log (2⁵ x 5)
= log 2⁵ + log 5
= 5 log 2 + log 5.

shaalaa.com

Expansion of Expressions with the Help of Laws of Logarithm

क्या इस प्रश्न या उत्तर में कोई त्रुटि है?

अध्याय 10: Logarithms - Exercise 10.2

अध्याय 10 Logarithms
Exercise 10.2 | Q 2.4

Given 3log x + `1/2`log y = 2, express y in term of x.

If log₁₀ 8 = 0.90; find the value of : log 0.125

If log₁₀ 8 = 0.90; find the value of : log√32

If log₁₀ a = b, find 10^{3b - 2} in terms of a.

Given log x = 2m - n , log y = n - 2m and log z = 3m - 2n , find in terms of m and n, the value of log `(x^2y^3 ) /(z^4) `.

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

Write the logarithmic equation for:

E = `(1)/(2)"m v"^2`

Express the following as a single logarithm:

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

If log a = p and log b = q, express `"a"^3/"b"^2` in terms of p and q.

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