Expression 3,
because 6 and 8 are factors of 48. Since positive 6 & 8 are the two numbers of choice, the product will be positive. My answer is reasonable because if you were to multiply positive 8 and 6 you will get positive 48.

8 0

3 years ago

32 what value of x is the equation 2^2x+ 7 = 2^15true?

Talja [164]

Value of x = 7.499

Step-by-step explanation:

We need to find value of x in the equation: $2^{2x}+ 7 = 2^{15}$

This can be solved using natural log

Solving:

$2^{2x}+ 7 = 2^{15}$

Subtract 7 from both sides:

$2^{2x}+ 7-7 = 2^{15}-7$

Simplifying:

$2^{2x}=32768-7$

$2^{2x}=32761$

Using rule if f(x)=g(x) then, ln(f(x))=ln(g(x))

So,

$ln(2^{2x})=ln(32761)$

Applying log rule: logₐ(x^b)= b logₐ(x)

$2x(ln(2))=ln(32761)$

Divide both sides by 2ln(2)

$2x(ln(2))=[tex]\frac{2x(ln(2))}{2(ln(2))}=\frac{ln(32761)}{2(ln(2))} \\x=\frac{ln(32761)}{2(ln(2))}\\Rewriting\,\,32761\,\,as 181^2\\x=\frac{ln(181^2)}{2(ln(2))}\\x=\frac{2ln(181)}{2(ln(2))}\\x=\frac{ln(181)}{ln(2)}\\x=7.499$

So, Value of x = 7.499

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

3 0

4 years ago