Solving Exponential Functions
Solving Exponential Functions
We can solve exponential functions using
logarithms.
By converting to a logarithm, we can move the
variable from the exponent.
Hint: We want to convert to a logarithm of
base 10 or base e.
Ex
Solving Equations Using Common and Natural Logarithms Practice
Solve each equation or inequality using common logarithms.
1.) 8 x 10
2.) 2.4 x 20
4.) 35 x 85
5.) 4 2 x 25
Solve each equation using natural logarithms,
6.) 6 x 42
7.) 7 x 4 x 3
9.) 12 e 0.04
Common and Natural Logarithms
Common Logarithms
A common logarithm has a _.
If there is no base given explicitly, it is common.
You can easily find common logs of powers of ten.
You can use your calculator to evaluate common logs.
Natural Logarithms
A na
Common and Natural Logarithms Practice
Evaluate each expression.
17 4
5
1.) log 66.3
2.) log
4.) ln 71
5.) ln 8.76
Convert each to a common logarithm and evaluate.
7.) log 6 832
8.) log 11 47
Convert each to a natural logarithm and evaluate.
10.) log 7 94
Common and Natural Logarithms
Common Logarithms
A common logarithm has a base of 10.
If there is no base given explicitly, it is
common.
You can easily find common logs of powers of
ten.
You can use your calculator to evaluate
common logs.
Natural Log