What is the missing value in x 1/5 = 6? (1 point)

Answer 1

To solve the equation $x\cdot \frac{1}{5}=6$, you need to isolate $x$.

You can do this by multiplying both sides of the equation by 5:

$$x\cdot \frac{1}{5}\cdot 5=6\cdot 5$$

This simplifies to:

$$x=30$$

Therefore, the missing value is $x=30$.

Answer 2

Solve the following equation: 2^(x+2) = 4^2
. What is the missing value?(1 point)

Answer 3

To solve the equation $2^{(x+2)}=4^2$, we first rewrite $4^2$ in terms of base 2:

$$4=2^2⟹4^2=(2^2{)}^2=2^{2\cdot 2}=2^4$$

Now, we can set the exponents equal to each other since the bases are the same:

$$x+2=4$$

Next, solve for $x$ by subtracting 2 from both sides:

$$x=4-2=2$$

Thus, the missing value is $x=2$.

Answer 4

Solve the following equation: 3^(x−2) = 81
. What is the missing value? (1 point)

Answer 5

To solve the equation $3^{(x-2)}=81$, we first express $81$ as a power of $3$:

$$81=3^4$$

Now the equation becomes:

$$3^{(x-2)}=3^4$$

Since the bases are the same, we can set the exponents equal to each other:

$$x-2=4$$

Next, solve for $x$ by adding 2 to both sides:

$$x=4+2=6$$

Thus, the missing value is $x=6$.