Find the value of x that solves the equation ln(x+3)-ln 2=0. Answer:

Combine logarithms: We are given the equation ln(x+3) - ln(2) = 0. To solve for x, we will first combine the logarithms on the left side using the property of logarithms that ln(a) - ln(b) = ln(a/b).Use logarithmic property: Combining the logarithms, we get ln((x+3)/2) = 0. Now, we can use the property that ln(a) = 0 implies a = 1 to find the value inside the logarithm that makes the equation true.Set inside equal to 1: Setting the inside of the logarithm equal to 1, we have (x+3)/2 = 1. Now we can solve for x by multiplying both sides of the equation by 2.Multiply both sides: Multiplying both sides by 2, we get x+3 = 2 * 1, which simplifies to x+3 = 2.Isolate variable: To isolate x, we subtract 3 from both sides of the equation, giving us x = 2 - 3.Final solution: Subtracting 3 from 2, we find that x = -1.

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Find the value of
x that solves the equation
ln(x+3)-ln 2=0.
Answer:

Find the value of $x$ that solves the equation $\ln (x+3)-\ln 2=0$ . $\newline$ Answer:

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Q. Find the value of

x

that solves the equation

\ln (x+3)-\ln 2=0

\newline

Answer:

Combine logarithms: We are given the equation $\ln(x+3) - \ln(2) = 0$ . To solve for $x$ , we will first combine the logarithms on the left side using the property of logarithms that $\ln(a) - \ln(b) = \ln\left(\frac{a}{b}\right)$ .
Use logarithmic property: Combining the logarithms, we get $\ln\left(\frac{x+3}{2}\right) = 0$ . Now, we can use the property that $\ln(a) = 0$ implies $a = 1$ to find the value inside the logarithm that makes the equation true.
Set inside equal to $1$ : Setting the inside of the logarithm equal to $1$ , we have \frac{x+ $3$ }{ $2$ } = $1$ . Now we can solve for x by multiplying both sides of the equation by $2$ .
Multiply both sides: Multiplying both sides by $2$ , we get $x+3 = 2 \times 1$ , which simplifies to $x+3 = 2$ .
Isolate variable: To isolate $x$ , we subtract $3$ from both sides of the equation, giving us $x = 2 - 3$ .
Final solution: Subtracting $3$ from $2$ , we find that $x = -1$ .