Solve for x, rounding to the nearest hundredth. 88e^(x)=48 Answer:

Isolate exponential term: Isolate the exponential term by dividing both sides of the equation by 88. \[ \frac{88e^x}{88} = \frac{48}{88} \] \[ e^x = \frac{48}{88} \]Simplify fraction: Simplify the fraction on the right-hand side of the equation. \[ e^x = \frac{48}{88} = \frac{6}{11} \]Take natural logarithm: Take the natural logarithm of both sides to solve for x. \[ \ln(e^x) = \ln\left(\frac{6}{11}\right) \] \[ x = \ln\left(\frac{6}{11}\right) \]Use calculator: Use a calculator to find the value of the natural logarithm of 6/11. \[ x = \ln\left(\frac{6}{11}\right) \approx -0.61903921... \]Round result: Round the result to the nearest hundredth. \[ x \approx -0.62 \]

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for
x, rounding to the nearest hundredth.

88e^(x)=48
Answer:

Solve for $x$ , rounding to the nearest hundredth. $\newline$ $88 e^{x}=48$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Algebra 2

Find trigonometric functions using a calculator

Full solution

Q. Solve for

x

, rounding to the nearest hundredth.

\newline

88 e^{x}=48

\newline

Answer:

Isolate exponential term: Isolate the exponential term by dividing both sides of the equation by $88$ . $\newline$ $\frac{88e^x}{88} = \frac{48}{88}$ $\newline$ $e^x = \frac{48}{88}$
Simplify fraction: Simplify the fraction on the right-hand side of the equation. $\newline$ $e^x = \frac{48}{88} = \frac{6}{11}$
Take natural logarithm: Take the natural logarithm of both sides to solve for x. $\newline$ $\ln(e^x) = \ln\left(\frac{6}{11}\right)$ $\newline$ $x = \ln\left(\frac{6}{11}\right)$
Use calculator: Use a calculator to find the value of the natural logarithm of $6$ / $11$ . $\newline$ $x = \ln\left(\frac{6}{11}\right) \approx -0.61903921...$
Round result: Round the result to the nearest hundredth. $\newline$ $x \approx -0.62$