7. If (0.2)x = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is?

Mathematics

2 answers:

prisoha [69]1 year ago

7 0

(0.2)x = 2.

Taking log on both sides

log (0.2)x = log 2.

x log (0.2) = 0.3010, [since log 2 = 0.3010].

x log (2/10) = 0.3010.

x [log 2 - log 10] = 0.3010.

x [log 2 - 1] = 0.3010,[since log 10=1].

x[-0.699] = 0.3010.

x= 0.3010/-0.699.

x= = -0.4306….

x= = -0.4.

yawa3891 [41]1 year ago

7 0

(0.2)x = 2.

Taking log on both sides

log (0.2)x = log 2.

x log (0.2) = 0.3010, [since log 2 = 0.3010].

x log (2/10) = 0.3010.

x [log 2 - log 10] = 0.3010.

x [log 2 - 1] = 0.3010,[since log 10=1].

x[-0.699] = 0.3010.

x = 0.3010/-0.699

x = -0.4306

x= -0.4 (nearest tenth)

You might be interested in

Terrell wants to Drive his car at a speed of 50 miles per hour for 2.75 hours. His car has a fuel efficiency of 25 miles per gal

Oduvanchick [21]

HI there! To find the number of gallons he needs for travel, the first step we need to do is find the number of miles he'll travel, by multiplying speed by time. 50 * 2.75 is 137.5. Terrell will travel 137.5 miles in 2.75 hours. There are 25 miles in a gallon. Now, let's divide the number by 25 to get the number of gallons. 137.5 / 25 = 5.5. There. Terrell will need 5.5 gallons of gas for his journey.

5 0

3 years ago

Read 2 more answers

• Each number on a number cube is a possible result, or _______________, of rolling the cube.

morpeh [17]

Ratio or outcome maybe?

8 0

3 years ago

Id 977 0670 5097 password a1MgvS

Natasha_Volkova [10]

Id 977 0670 5097
password a1MgvS

3 0