Solving Exponential and Logarithmic Equations

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Presentation transcript:

Solving Exponential and Logarithmic Equations

Warm Up Exponents Become Coefficients Rule Rewrite the following without exponents 1. log32 2. ln x4 3. log5x 4. ln 6(x + 3)

Exponential Equation with Common Base Solve Change to like bases…

Try This 1. 23x = 4x+ 1 2. 35x+1 = 81 3. 2562x = 64 4. 43x = 8x+1

Exponential Equation with Different Bases Solve Take the log or ln of both sides…

Try This 1. 92x = 66 2. 8+ 10x = 1023 3. 252x+1 = 144 4. e3x = 77.2

Logarithmic Equations Solve Write in exponential form…

Logarithmic Equations Solve Write in exponential form…

Try This Solve 1. 4 + log x = 8 2. 3log x = 1.5 3. log3 (2x – 5) = 4 4. 1.1 + ln x2 = 6