Question

2log2 8 – 3 logs 25 + 2x = log 10,000
may you show the steps please

Answer 1

Answer: x=2 - 1/2 x ㏒(16/2953125)

Step-by-step explanation:

• log (28^2) + log(525^-3) + 2x=log(10^4)
• log(28^2 x 1/523^3) + 2x=4
• log(28^2/525^3) + 2x=4
• log (112/75 x 75 x 525) + 2x=4
• log(16/2953125) + 2x=4
• 2x=4-log(16/2953125)
• x=2-1/2 x log(16/2953125)