Solving Same
Base Problems
Base Problems
82x-1 = 24x-4
Solve for x.
x= 11/10 or 1 1/10
ln38
Put into natural log formula and solve.
= 1.893
Expand log 3x3 / 5y
log 3x3 - log 5y Quotient
log 3 + log x3 - log 5 + log y Product
log 3 + 3 log x - log 5 + log y Power
Solve the following for x.
3x=10
x= 2.096
Using log65 = 0.898 and log68 = 1.161
log6 5/8
log6 5 - log6 8
0.898 - 1.161= -0.262
ln(4x-7) = ln(x+5)
Solve for x.
x=4
log1230
Solve using common log formula.
x= 1.369
Expand log 7x2/14y
log 7x2 - log 14y Quotient
log 7 + log x2 - log 14 + log y Product
log 7 + 7 log x - log 14 + log y Power
Solve the following for x.
3x=7
x= 1.771
Using log65 = 0.898 and log68 = 1.161
log640
log6 5 + log6 8
0.898 + 1.161 = 2.059
(1/5)1-x = 252x+1
Solve for x.
x= -1
log916
Solve using common log formula.
x= 1.262
Expand ln 5x7/ y
ln 5x7 - ln y Quotient
ln 5 + ln x7 - ln y Product
ln 5 + 7 ln x - ln y Power
Solve the following for x.
9x=30
x= 1.548
Using log65 = 0.898 and log68 = 1.161
log6 64
log6 82
2 (log6 8) = 2.3225125x-1 = (1/8)-4-x
Solve for x.
x= 1/2
log620
Solve using BOTH common and natural log formulas.
x= 1.672
Condense 5 ln 2 + 7 ln x + 4 ln y
ln 25 + ln x7 + ln y4 Power
ln (25 x7 y4) ProductSolve the following for x.
12x=65
x= 1.680
Use log2 3= 1.585 and log2 7= 2.807
log2 3/7
log2 3 - log2 7
1.585 - 2.807 = -1.222
1005x-2 = (1/10)11-x
Solve for x.
x= (-15/9) OR (-5/3)
log1782
Solve using BOTH common and natural log formulas.
x= 1.555
Condense log 7 + 4 log 2 - log 8
log 7 + log 24 - log 8 Power
log (7 x 24) - log 8 Product
log (7 x 24) / 8 Quotient
log 14 Simplify
Solve the following for x.
8x=70
x= 2.043
Use log2 3= 1.585 and log2 7= 2.807
a) log2 21
b) log2 49
a) log2 3 + log2 7
1.585 + 2.807 = 4.392
b) log2 72
2 (log2 7)
2 (2.807) = 5.614