Question 1129238
 Solve the equation by rewriting the exponential expressions using the indicated logarithm.
: 
the natural log base is not 10, it's e, base ten is the "common log"
:
assuming
{{{e^(4x) = 19}}} using the natural log
the log equiv of exponents
4x*ln(e) = ln(19) 
the ln of e = 1, therefore
4x = ln(19)
4x = 2.4999
x = {{{2.4999/4}}}
x = .7361
:
{{{60^e - .12t = 10}}} 
{{{60^e = 12t + 10}}}
using the natural logs
e*ln(60) = ln(12t + 10)
using calc: find e*ln(60)
11.13 = ln(12t+10) 
find the e^x of both sides
68186.37 = 12t + 10
subtract 10 from both sides
68176.37 = 12
t = {{{68176/12}}}
t = 5681.36