Given that log 2 = x, log 3 = y and log 7= z, express the following expression in terms of x, y, and z:
a) log 0.3
b) log 200

Respuesta :

The expression is log 0.3 = y-1 and log 200=  x+2

What is Logarithm?

The power (or exponent) to which one base number must be raised multiplied by itself — to produce another.

Given:

log 2= x

log 3 =y

log 7 =z

a) log 0.3

= log 3/10

= log 3 -log 10

= y -1    [log 10=1]

b) log 200

= log 2*100

= log 2 + log 100

= x+ 2     [log 100= 2]

Hence, log 0.3 = y-1 and log 200=  x+2

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