$2\log(2a-1)=0\\\\\text{Domain:}\\\\2a-1>0\qquad\text{add 1 to both sides}\\2a-1+1>0+1\\2a>1\qquad\text{divide both sides by 2}\\\dfrac{2a}{2}>\dfrac{1}{2}\\\boxed{a>0.5}\\============================\\\\2\log(2a-1)=0\qquad\text{divide both sides by 2}\\\\\dfrac{2\!\!\!\!\diagup\log(2a-1)}{2\!\!\!\!\diagup}=\dfrac{0}{2}\\\\\log(2a-1)=0\qquad\text{use}\ \log_ab=c\iff b=a^c\\\\\log(2a-1)=\log10^0\\\\\log(2a-1)=\log1\iff2a-1=1\qquad\text{add 1 to both sides}\\\\2a-1+1=1+1\\\\2a=2\qquad\text{divide both sides by 2}\\\\\dfrac{2a}{2}=\dfrac{2}{2}\\\\a=1\in D$

3 0

2 years ago

Stormer Company reports the following amounts on its statement of cash flow: Net cash provided by operating activities was $37,0

olchik [2.2K]

Answer:

The ending cash balance is $12,800

Step-by-step explanation:

This is an addition and subtraction problem. We begin with the initial cash balance of $6,800. Next we are "provided" cash from various activities of $37,000. Based on the word used we can tell that this means we have to add this to our initial balance like so,

$6,800 + 37,000 = 43,800$

Now our balance is $43,000. Next we are told that Net Cash "used" in investing activities is $13,600 and "used" in financing activities is $17,400. Based on this word we can tell that this money is being subtracted from our balance.

$$43,000 - 13,600 - 17,400 = 12,800$

Finally, we can see that the ending cash balance is $12,800

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

7 0

2 years ago

What is the exact value of x in the exponential equation 2^5x − 57 = 43?

katovenus [111]

Start by getting the term with the exponent on one side
$2^{5x}=100$

take the log of both sides
$log 2^{5x} =log100$

There is a log rule that says we can bring down the exponent
$5xlog2=log100$

Solve for x
$5x= \frac{log100}{log2}$
5x=6.64

answer: x=1.33

4 0

3 years ago