Advertisements
Advertisements
प्रश्न
If log 10 x = a, log 10 y = b and log 10 z = 2a - 3b, express z in terms of x and y.
बेरीज
Advertisements
उत्तर
log 10 x = a
⇒ x = 10 a
log 10 y = b
⇒ y = 10 b
log 10 z = 2a - 3b
⇒ z = 102a-3b
∴ z = 102a-3b
= (10 a)2 . (10 b)-3
= (x)2 (y)-3
= `x^2/y^3`.
shaalaa.com
Interchanging Logarithmic and Exponential Forms - Logarithmic to Exponential
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
Express the following in the exponential form:
log10 0.001 = -3
Find x in the following when: log 8 x = `(2)/(3)`
Find x in the following when: log 10 0.0001 = x
Find the value of: log 5 125
Find the value of: log 8 2
Find the value of `log_(1/2)16`.
Find the value of: log 0.0110
Find the value of: log 3 81
If log 10 x = a, express the following in terms of x: 10 a + 3
State true or false in the following:
If log 10 100 = 2, then 102 = 100
