Answer
$x \approx 1.69$
Work Step by Step
The base in the exponential equation is $19$, so take the natural logarithm on both sides to obtain
$\ln{19^x}=\ln{143}.$
Use the power rule $\ln{b^x} = x \ln{b}$ to bring the exponent to the front:
$x \ln{19} = \ln{143}.$
Divide both sides of the equation by $\ln{19}$ to obtain
$x=\dfrac{\ln{143}}{\ln{19}}.$
Use a calculator and round-off the answer to two decimal places to obtain
$x \approx 1.69.$
