Question

1/2log16 + log(x+1)= log(3x+48)

Answer 1

Step-by-step explanation:

Step 1:

log(x)=1/2log(16)−1/3log(8)+1log⁡(x)=1/2log⁡(16)−1/3log⁡(8)+1

Step 2:

log(x)=1/2(1.2)−1/3(0.9)+1log⁡(x)=1/2(1.2)−1/3(0.9)+1

Step 3:

log(x)=1.3log⁡(x)=1.3

Step 4:

According to one property of logs:

x=10∗∗13/10x=10∗∗13/10

x=19.95…x=19.95…. This is my answer