Question

1. - / 1 points

solve for x.
ln x - ln 8 = 0
x =
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1. - / 1 points

solve for x.
log(x) - log(19) = 0
x =
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submit answer

Explanation:

Problem 7

Step1: Isolate the logarithmic term

Given the equation $\ln x - \ln 8 = 0$, we can add $\ln 8$ to both sides of the equation.
$\ln x = \ln 8$

Step2: Use the property of logarithms

If $\ln a=\ln b$, then $a = b$ (since the natural logarithm function is one - to - one). So, from $\ln x=\ln 8$, we can conclude that $x = 8$.

Step1: Isolate the logarithmic term

Given the equation $\log(x)-\log(19)=0$, we add $\log(19)$ to both sides of the equation.
$\log(x)=\log(19)$

Step2: Use the property of logarithms

If $\log a=\log b$ (assuming the same base for the logarithm, here we can assume it is a common logarithm with base 10), and the logarithmic function $y = \log x$ (base 10) is one - to - one, then $a=b$. So, from $\log(x)=\log(19)$, we get $x = 19$.

Answer:

$x = 8$

Problem 8