Question

4. Conversions and Transformations a. Logarithmic to Exponential Conversions 1. log: 9 = 2 - 2. log: 2 = 1/2 - 3. log:(1/9)=-2 - b. Exponential to Logarithmic Conversions 1. 49 = 72 - 2. 3 = 19 - 3. 1/3=31- c. Logarithmic Transformation of a Product and Quotient 1. log. 2. 1o8, () - d. Solving Logarithmic Equations 1. 3log, 2+ log, 25-log, 20 = log, 2 log, x+log, (x-3) = log, 10

Answer 1

4) a)
log, 9 = 2
, that imply
و = دو

log, 2 = 1/2
, that imply
41/2 -2

log, (1/9)= -2
, that imply
3-2 = 1/9

b)
49 = 74
, that imply
log, 49 = 2

3= V9
, that imply
log, 3 = 1/2
or
log, 9 = 2

13-3-1
, that imply
log1/3= -1

c)

log, RST = log, R – log, S – log, T

log, (R/S)2/3 = (2/3) log, (R/S) = (2/3){log, R – log, S}

d)

3 log, 2 + (1/2)log, 25 – log, 20 = log, I

log, 8 + log, 5 – log, 20 = log, I

log, (8 x 5)/20 = log, I

log, 2 = log, I

$2=x$