Question

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

Answer 1

x=8.33

Explanation:

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

ac/logrithmic formula,

`ln(a)+ln(b)`=
`ln(a)* ln(b)`

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

ac/question,

ln(12x)=2

12x=10^2=100

x=
`(100)/(12)`=8.33

x=8.33 answer

Answer 2

`x = 0.62 (Approximated)`

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

`(12x)/(12) = (e^(2))/(12)`

Which gives

`x = (e^(2))/(12)`

Step 6: Solve right hand side of the equation

`x = (7.38905609893)/(12)`

`x = 0.61575467491`

`x = 0.62 (Approximated)`