Question
Solve each equation. Give solutions to three decimal places. See Example 1.$$4^{2 x+3}=6^{x-1}$$
Step 1
Step 1: Take the natural logarithm of both sides of the equation to bring down the powers: \[ \ln(4^{2x+3}) = \ln(6^{x-1}) \] which simplifies to \[ (2x+3)\ln(4) = (x-1)\ln(6) \] Show more…
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