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

3 0

2 years ago

HELP ASAP!!! PLEASE!! (IMPORTANT) 13 and 14 please. ASAP!

lora16 [44]

Number 14 is area= 1075.21

3 0

2 years ago

Solve the system by substitution. <br><br> y = 2x<br> 3x + 2y = 21

7nadin3 [17]

Y=2x
3x+2y=21
3x+2(2x)=21
3x+4x=21
7x=21
x=3
y=2(3)
y=6

8 0

2 years ago