Solve for x two ways exp4x99expx5 1 algebraically using loga

Solve for x two ways. exp(4x-9)=9exp(x+5)
        1) algebraically using logarithmic identities, and
        2) TI-89 solv() or csolv() functions.
     Remember that exp(x)=e^x is the exponential function where e=2.71828

Solution

1) exp(4x-9)=9exp(x+5)

Taking natural log of both sides:

lnexp(4x-9) = ln(9exp(x+5))

4x-9 =ln9 +x+5

3x = 14 +ln9

x = (14+ln9)/3 = 5.4

2) This part can be solved using pysical calculators T1-89