Question

Solve In4+In(3x)=2 round your answer to the nearest hundredth​

Answer 1

Answer:

x=8.33

Step-by-step explanation:

given $ln4+ln(3x)$=2

ac/logrithmic formula,

$ln(a)+ln(b)$=$ln(a)\times ln(b)$

$ln(4)+ln(3x)$=$ln(12x)$

ac/question,

ln(12x)=2

12x=10^2=100

x=$\frac{100}{12}$=8.33

x=8.33  answer

Answer 2

Answer:

$x = 0.62 (Approximated)$

Step-by-step explanation:

Given: ln(4) + ln(3x) = 2

Required: Solve for x

To solve this;  follow the highlighted steps

Step 1: Write out the expression

$ln(4) + ln(3x) = 2$

Step 2: Apply law of logarithm which states that $ln(a) + ln(b) = ln(a * b).$

So, Similarly: $ln(4) + ln(3x) = 2$ becomes

$ln(4 * 3x) = 2$

Step 3: Solve the bracket

$ln(12x) = 2$

Step 4:  Take exponent of both sides

$12x = e^{2}$

Step 5:  Divide both sides by 12

$\frac{12x}{12} = \frac{e^{2}}{12}$

Which gives

$x = \frac{e^{2}}{12}$

Step 6: Solve right hand side of the equation

$x = \frac{7.38905609893}{12}$

$x = 0.61575467491$

$x = 0.62 (Approximated)$