Step-by-step explanation:
<u>Given</u>: √{32⁰ + (2/3)} = (0.6)²⁻³ˣ
<u>Asked</u>: Find the value of x = ?
<u>Solution:</u> Given that √{32⁰ + (2/3)} = (0.6)²⁻³ˣ
⇛√{1 + (2/3)} = (0.6)²⁻³ˣ
⇛√{(1/1) + (2/3) = (0.6)²⁻³ˣ
⇛√{(1*3 + 2*1)/3} = (0.6)²⁻³ˣ
⇛√{(3 + 2)/3} = (0.6)²⁻³ˣ
⇛√(5/3) = (0.6)²⁻³ˣ
Squaring on both sides then
⇛{√(5/3)}² = {(0.6)²⁻³ˣ}²
⇛√(5²/3²) = {0.6}(²⁻³ˣ)²
⇛√{(5*5)/(3*3)} = {0.6}(²⁻³ˣ)²
⇛5/3 = {0.6}(²⁻³ˣ)²
[ (aᵐ)ⁿ = aᵐⁿ]
⇛5/3 = (0.6)²*²⁻³ˣ*²
⇛5/3 = (0.6)⁴⁻⁶ˣ
⇛5/3 = (6/10)⁴⁻⁶ˣ
⇛5/3 = {(6÷2)/(10÷2)})⁴⁻⁶ˣ
⇛5/3 = (3/5)⁴⁻⁶ˣ
⇛(3/5))⁻¹ = (3/5)⁴⁻⁶ˣ
[ a⁻ⁿ = 1/aⁿ]
Base are the same, so the exponents must be equal.
-1 = 4 - 6x
Shift the number 4 from RHS to LHS, changing it's sign.
⇛-1 - 4 = -6x
⇛-5 = -6x
⇛x = {(-5)/(-6)}
x = 5/6
<u>Answer</u><u>:</u> Hence, the value of x for the given problem is 5/6.
<u>also </u><u>read </u><u>similar </u><u>questions</u><u>:</u> (1/3)^-2 + (1/4)^-2 = (125)^x Find the value of x? brainly.com/question/25746379?referrer
(3^-2 × 4^-2)^-3 = 12^x In the given expression find the value of x. brainly.com/question/25746273?referrer
There are 13.2086 gallons in 50 liters. Rounded to the nearest tenths equals: 13.2
Answer:
<em>1,440,000 cubic feet</em>
Step-by-step explanation:
<u>Proportions
</u>
We are told that 90% of the volume of an iceberg is below water. It means that 10% is above water. The proportion between the sunk/floating volumes is 90/10=9. The underwater volume of the iceberg is 9 times the above water volume. Thus, the volume of the iceberg below water is 9*160,000 =
Answer:
(2,0)
Step-by-step explanation:
Take the average of the two x-coordinates: (10-6)/2 = 2
Take the average of the two y-coordinates: (4+(-4))/2 = 0
Midpoint: (2,0)