Questions: Which equation is equivalent to log3(x+5) = 2? 3^2 = x+5

Which equation is equivalent to log3(x+5) = 2? 3^2 = x+5
Transcript text: Which equation is equivalent to $\log _{3}(x+5)=2$ ? $3^{2}=x+5$
failed

Solution

failed
failed

Solution Steps

Step 1: Convert the Logarithmic Equation to Exponential Form

Given the logarithmic equation: \[ \log_{3}(x+5) = 2 \] we can convert it to its exponential form using the property that \(\log_b(a) = c\) is equivalent to \(b^c = a\). Therefore: \[ 3^2 = x + 5 \]

Step 2: Solve for \( x \)

Next, we solve the exponential equation for \( x \): \[ 3^2 = 9 \implies 9 = x + 5 \] Subtract 5 from both sides: \[ 9 - 5 = x \implies x = 4 \]

Final Answer

\(\boxed{3^{2}=x+5}\)

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Example 4 Suppose M is the midpoint of FG. Find each missing 34. FM=5y+13, MG=5-3y, FG=? 35. FM
failedAnswered
Evaluate the triple integral [ iiintmathbfE x y z d V ] where E is the solid: (0 leq z leq 2), (0 leq y leq z), (0 leq x leq y).
failedAnswered
Suppose that at the beginning of 2023 Jamaal's basis in his S corporation stock was 27,000 and Jamaal has directly loaned the S corporation 10,000. During 2023, the S corporation reported an 80,000 ordinary business loss and no separately stated items. After any loss deductions this year, what is Jamaal's stock and debt basis at the end of the year if Jamaal is a 50 percent shareholder of the S corporation?
failedAnswered
The functions (f) and (g) are defined as follows. [f(x)=-4 x+4 quad g(x)=-2 x^3-5] Find (f(4)) and (g(-3)). Simplify your answers as much as possible. [f(4)= ] [g(-3)= ]
failedAnswered
HIV/AIDS can be categorized as a new or emerging infectious disease. By putting it into this category, we are indicating that the disease has always been in susceptible populations and causing disease but we lacked the technology to detect it. This infection hasn't been observed in the human population prior to recent (within the last 50 years) outbreaks the infectious agent is still evolving and changing, unlike with older more established diseases such as plague or polio. This infection hasn't been observed in the human population prior to recent (within the last 5 years) outbreaks. This disease has been in susceptible populations for centuries, but has only recently achieved infection levels that became detectable.