The value of x will be equal to 2.477.
<h3>What is a logarithm?</h3>
The logarithm is the inverse function of exponentiation in mathematics. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised in order to obtain that number x.
The given expression will be solved as follows;-

Taking Log on both sides.

(x-2) Log5 = Log 8
( x-2) = Log8 / Log 5
(x - 2) = Log 8 - Log 5
(x - 2 ) = Log 3
x-2 = 0.477
x = 2.477
Therefore the value of x will be equal to 2.477.
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Answer:
3,520 yds in 2 hours
Step-by-step explanation:
5,280:1 ; 1 mile an hour is 5,280 feet in an hour
10,560:2 ; 2 miles in 2 hours is 5,280+5,280 (10,560) feet in 2 hours
3 ft = 1 yd ; every 3 feet is a yard, so divide 10,560 by 3
10,560/3 = 3520 yds ; Jorge can walk 3,520 yds in 2 hours
Answer:
11 yards
Step-by-step explanation:
The volume of a cone formula is:

Where V is the volume,
r is the radius (half of diameter)
h is the height
Given,
h = 15
V = 475.17
We find the radius (r) first by substituting given values:

The radius (r) is 5.5 yards
We need the diameter, which is DOUBLE THE RADIUS, so diameter would be:
Diameter = 5.5 * 2 = 11 yards
Answer:
6^8
Step-by-step explanation:
6^4 * 6^4
We know that a^b * a^c = a^(b+c)
6^4 * 6^4 = 6^(4+4) = 6^8
Answer:
a = -1,6 b = 1,11 c = 4,11 .