4. NotBase 10
Ex Solve for x:
Using the steps from the previous problem:
1st Convert to logarithm.
2nd There's a problem. Since the equation is not
base 10 system, you cannot use your calculator to solve
it.
Our solution is to take the log of both sides of the
exponential equation. This converts the entire
equation to base 10 instead of base 3.
original problem:
step 1: log 3x = log 47
Step 2: Now using the laws of logarithms rewrite the
equation:
x log 3 = log 47
Step 3 : Get x by itself:
x = log 47
log 3
Step 4: Now you can use your calculator to solve.
x = 3.5
4