Paano mo malutas ang log (2 + x) -log (x-5) = log 2?

Sagot:

# x = 12 #

Paliwanag:

Muling isulat bilang nag-iisang logarithmic expression

Tandaan: #log (a) - log (b) = log (a / b) #

#log (2 + x) - log (x-5) = log2 #

#log ((2 + x) / (x-5)) = log 2 #

# 10 ^ log ((2 + x) / (x-5)) = 10 ^ (log2) #

# (2 + x) / (x-5) = 2 #

# (2 + x) / (x-5) * kulay (pula) ((x-5)) = 2 * kulay (pula) ((x-5)) #

# (2 + x) / kanselahin (x-5) * kanselahin ((x-5)) = 2 (x-5) #

# 2 + x "" "= 2x- 10 #

# + 10 - x = -x + 10 #

===============

#color (pula) (12 "" "= x) #

Suriin:

#log (12 + 2) - log (12-5) = log 2 # ?

#log (14) - mag-log (7) #

#log (14/7) #

#log 2 = log 2 #

Oo, ang sagot ay # x = 12 #