Solve log5x = log (2x+9)

Question

shubhamsrg · Answer

5x = 2x+ 9 simply..isnt it ?

anonymous · Answer

$$5x=2x+9$$

anonymous · Answer

5x-2x=9
3x=9
x=3

anonymous · Answer

Simple.

4meisu · Answer

You would disregard the logs..?

anonymous · Answer

actually, you should tak Anti log both the side. so it will ultimately 2 simple equation. as I explained already.

kropot72 · Answer

@4meisu If log A = log B, then A = B

lgbasallote · Answer

unless 5 was the base...

lgbasallote · Answer

that's a different story

linknissan · Answer

u can only discard if the base of the log is the same..here the base of both the log in 10..tht is default

kropot72 · Answer

@lgbasallote Please clarify why the deduction "If log A = log B, then A = B" is not true for any base of the logs (with the condition that the same base is used on each side of the equation).

lgbasallote · Answer

i was referring to the question

linknissan · Answer

this is true if the base of the logs r same..hn A=B..or else not

lgbasallote · Answer

could have just been copy-pasted thus failed to show that 5 is the base

lgbasallote · Answer

the question could have been this $$\huge \log_5 x = \log (2x+9)$$

kropot72 · Answer

@lgbasallote You are right. The original question could well have been as you point out.