3 Solve for x by first rewriting into logarithmic form and t

3. Solve for x by first rewriting into logarithmic form, and then use the change-of-base formula to approximate to 4 decimal places.

Solution

1) -3 =log .001

applying log property

log x = y

10^y = x

therefore,

10^-3 = .001

2) 4^-3 = 1/64

applyin log property

log ₄ ( 1/64 ) = -3

3) 4^x = 150

log ₄ (150) = x

applying change of base formula

x = log 150 / log 4

x = 3.6144