Convert log3 59 to a natural logarithm and evaluate Solve e4

Convert log_3 59 to a natural logarithm and evaluate. Solve e^4x

Solution

23 ) y = log3(59) = log59/log3

divide num and den by log(e)

y = log59/loge / log3 /log3

= ln(59)/ln(3)

Using calculator we find: y = 3.711

25) e^3x < 98.6

take natural log on both sides:

ln(e^3x) < ln(98.6)

now we know ln(e) =1

So, 3x < ln(98.6)

x < ln(98.6)/3

x< 4.18