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Solve each equation for $x$ .$$(a)e^{7-4 x}=6 \quad \text { (b) } \ln (3 x-10)=2$$
(a) $x=\frac{7-\ln 6}{4} \approx 1.3021$(b) $x=\frac{e^{2}+10}{3} \approx 5.7964$
Calculus 1 / AB
Chapter 1
Functions and Sequences
Section 5
Logarithms; Semilog and Log-Log Plots
Functions
Harvey Mudd College
Baylor University
University of Nottingham
Boston College
Lectures
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this question asks us to solve each equation. For Max, the first step is take the natural of both sides. We know that when we do e times natural log, it cancels off. That's why we simply have seven minutes work. Small of 10 side we have now solved for X. As you can see, we have left it as a fraction for being our We're doing the same thing. We're going to be raising the power on both sides of the base e because this makes it a lot easier to cancel off the natural log. Leaving us with three x minus ton is he squared? Three axes, e squared plus ton axe is e squared plus 10 divided by three.
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