3 years ago

Solve 3 ^ x + 6 = 3 ^ 4

Mathematics

1 answer:

aleksklad [387]3 years ago

8 0

Answer:

3.93 (approx.)

Step-by-step explanation:

3 ^ x + 6 = 3 ^ 4 can be rewritten as 3 ^ x = 3 ^ 4 - 6, or

3^x = 81 - 6 = 75.

Then 3^x = 75, or

x*ln 3 = ln 75

Solving for x:

x = (ln 75) / (ln 3) = 3.93 (approx.)

You might be interested in

Nick borrowed $7150, to be repaired at an annual simple interest rate of 6.25%. How much interest will be due after 5 years? How

Soloha48 [4]

$2,234.38 after 5 years and he will have to repay $9,384.38.

7 0

3 years ago

If an employer reduces the working week from 40 hours to 35 hours, with no

tangare [24]

Answer:

14.285714285714 %

Step-by-step explanation:

suppose the weekly payment is of x dollars

Then

Previous payment : $(x/40) per hour

New payment : $(x/35) per hour

Then

The percentage increase in the hourly rate of pay is :

$=\frac{\frac{x}{35} -\frac{x}{40} }{\frac{x}{40} } \times100$

$=\frac{\frac{5x}{1400} }{\frac{x}{40} } \times100$

$=\frac{5x}{1400} \times \frac{40}{x} \times100$

$=\frac{200}{1400} \times100$

$=\frac{1}{7} \times100$

$=14.285714285714$

6 0

2 years ago

Mrs. Whatsit spends a lot of time sleeping. Last week she spent 159,547 seconds sleeping. This week she slept some more. If she

gulaghasi [49]

Answer:

142,853

Step-by-step explanation:

Subtract.

302400

- 159547

_______

142853

4 0

3 years ago

Read 2 more answers

16+28÷2-6 over 10-4x2

Levart [38]

Answer:

-11(over)10-4x^2

8 0

3 years ago

Please help me with this question

alina1380 [7]

Answer:

Step-by-step explanation:

See in title it says thousands,

so multiply whatever number in graph by 1000

Rhode Islands shows 45 in graph, so:

45x1000=45,000

5 0

3 years ago