Solve for x using Logarithm4^x+6^x =9^x

1 answer:

7 0

4^x + 6^x = 9^x

4^x + 6^x - 9^x = 0

2^2x + (2×3)^x - 3^2x = 0

2^2x + 2^x×3^x - 3^2x = 0

(⅔)^2x + (⅔)^x - 1 = 0

let t = ( ⅔)^x

t² + t - 1 = 0

t = (-1+√5 ) / 2

(⅔)^x = (-1+√5 ) / 2

x = Log base ⅔ ((-1+√5 ) / 2 )

x = 1.18681

You might be interested in

A globe company currently manufactures a globe that is 16 inches in diameter. If the dimensions of the globe were reduced by hal

Veseljchak [2.6K]

Answer:

D. 267.9 in3

Step-by-step explanation:

So we know the diameter is 16 inches.

So we need to find the radius and we do that by: 16/2 = 8 then it is reduced by half: 8/2 = 4

Now we need to find the volume.

V= 4/3 times 3.14 times 4^3= 268.08

So we would need to round which would give us 267.9 in3.

Therefore the answer is the D. 267.9 in3.

I hope this helps!!!

4 0

3 years ago

Read 2 more answers

5x-3=3x+8 ~~~~ 2 X=? The lines a fraction

FinnZ [79.3K]

$\dfrac{5x-3}{2}=3x+8\ \ \ \ \ |multiply\ both\ sides\ by\ 2\\\\5x-3=6x+16\ \ \ \ |add\ 3\ to\ both\ sides\\\\5x=6x+19\ \ \ \ |subtract\ 6x\ from\ both\ sides\\\\-x=19\ \ \ \ |change\ signs\\\\\boxed{x=-19}$

3 0

3 years ago

Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. if we start with only one

stepladder [879]

Answer:

Roughly 16 million bacteria.

Step-by-step explanation:

Multiply the rate of the bacteria going through mitosis times the amount of daughter cells per hour, for this case.

r x (m)ms x hr = bacteria in one day

Hope this helps!

note: ms and hr are millisecond and hour

6 0

2 years ago

Due in 7 min. helpp !!

zavuch27 [327]

You’ve got this. I believe in you. You can do it. I don’t know the answer. Sorry

6 0

3 years ago

What is 350/100 as a decimal and percent

igor_vitrenko [27]

3.5
350%. Hope it helped

7 0

3 years ago

Solve for x using Logarithm4^x+6^x =9^x​

Solve for x using Logarithm4^x+6^x =9^x