1 Worksheet 20 MATH 150 Section Precalculus Date Name SHOW ALL YOUR WORK Section 4 6 Exponential and Logarithmic Equations 1 Use like bases to solve the exponential equation 4 5x 4 4 x 2 Use like bases to solve the exponential equation 8 24w 4 2 3 Solve for x 32x 1 27 4 Use logarithms to solve If there is no solution write NO SOLUTION er 3 3 39 5 Use logarithms to solve If there is no solution write NO SOLUTION 5e9x 2 2 58 3 6 Use the de nition of a logarithm to solve the equation 2 log 3n 4 8 12 4 7 Use the one to one property of logarithms to solve Write your answers as a comma separated list ln x2 13 ln 16 ln 17 8 Use logarithms to solve If there is no solution write NO SOLUTION 75x 1 9x 5 9 Solve the equation for x if there is a solution Write your answers as a comma separated list If there is no solution write NO SOLUTION log x2 16 log 7x 4 5 10 The population of a small town is modeled by the equation P 1250e0 5t where t is measured in years In approximately how many years will the town s population reach 20 000 Round your answer to two decimal places 6 11 a Solve the equation by rewriting the exponential expression using the indicated logarithm using the natural log 30e 0 14t 10 b Use calculator to approximate t to three decimal places