$1.\:2^x=64, x=\boxed{6},\\2.\:x=\left(\frac{2}{3}\right)^3,x=\boxed{\frac{8}{125}}\\3.\:3\cdot (3^4)=3^x, x=\boxed{5}\\4.\:\frac{16}{25}=x^2,x=\boxed{\frac{4}{5}},$

Step-by-step explanation:

$1.\\\\2^x=64,\\\log 2^x=\log64,\\x\log 2=\log 64,\\x=\frac{\log 64}{\log 2}=\boxed{6}$

$2.\\x=\left(\frac{2}{5}\right)^3=\frac{2^3}{5^3}=\boxed{\frac{8}{125}}$

3. This problem incorporates an exponent property.

Exponent property used: $a^b\cdot a^c=a^{(b+c)}$ , yielding an answer of $\boxed{5}$

$4.\\\\\frac{16}{25}=x^2,\\x=\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\boxed{\frac{4}{5}}$

3 0

3 years ago

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dayo read 4/5th of a story book which has 500 pages. how many pages of the book is not yet read by dayo?

Nutka1998 [239]

1- 4/5=1/5; 1/5 •500=500/5=100

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=2%20%5Ctimes%20%20%2B%205%20%3D%207" id="TexFormula1" title="2 \times + 5 = 7" alt="2 \times

Lera25 [3.4K]

2x + 5 =7
Subtracting 5 from both sides
= 2x +5-5 = 7-5
=2x = 2
= x = 2/2
=x = 1

4 0

2 years ago

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Which number rounds to 0.32 rounded to the nearest hundredth

Naddik [55]

0.32 to the nearest hundredth would be 0.3

5 0

2 years ago

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