Question 16 (1 point) (07.02)
What is the solution of log4x − 1032 = 5? (1 point)

a
x = −2

b
x = 2

c
x = 3

d
x = 4

x = 3.

Explanation:

The expression is miswritten.

I am going to try to show it correctly writen  using the math editor:

Just to be sure that it is understandable, the expression is read: logarithm base (4x - 10) of 32 equals 5.

To solve it, you take antilogarithm:

[4x - 10]^5 = 32

Now decompose 32 in 2^5

=> [4x - 10]^5 = 2^5

=> 4x - 10 = 2

=> 4x = 12

=> x = 12 / 4 = 3

x = 3

Step-by-step explanation:

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1