Question

2 + log x is equals to log 45 minus log 2 + log 16 - 2log
3

Answer 1

Answer:

x = 0.4

Step-by-step explanation:

Question: 2 + log x is equals to log 45 minus log 2 + log 16 - 2log 3. Find x.

2 + log(x) = log(45) - log(2) + log(16) -2*log(3)

Simplifying RHS

log(45 x 16/2) - log(3²)

= log (360) - log(9)

= log (360/9)

= log(40)

Substituting RHS we get,

2 + log(x) = log(40)

2 + log(x) = log(40)

2 = log(40) - log(x) = log(40/x)

10² = 40/x

x = 40/100

x = 0.4

Answer 2

Answer:

x = 0.4

Step-by-step explanation:

2 + log x is equals to log 45 minus log 2 + log 16 - 2log

3

2 + logx = log45 - log2 + log16 - 2log3

log10 = 1  so 2 = 2 log10

=> 2log 10 + logx = log45 - log2 + log16 - log(3²)

=> log(10²) + logx = log45 - log2 + log16 - log(9)

=> logx = log 45 + log16 - log2 - log9 - log 100

=> logx = log ( (45 * 16) / (2 * 9 * 100))

=> x =  (45 * 16) / (2 * 9 * 100)

=> x = 720/1800

=> x = 4/10

=> x = 0.4