Here are the two methods of solution:
Write the equation: | 4-3x = 64 | |
Make sure it has the form A = bc : | It does. | |
Rewrite in logarithmic form: | -3x = log4 64 | |
Evaluate: | -3x = 3 | |
Solve for x: | x = -1 |
Solution Method 2 (Taking the Log of Both Sides):
Write the equation: | 4-3x = 64 | |
Take the log base 4 of both sides: | log4(4-3x) = log4 64 = 3 | |
Use rule(3): | -3x log4 4 = 3 | |
Use rule(4): | -3x = 3 | |
Solve for x: | x = -1 |
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