3^4x+25=243?

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Answer 1 · 2018-06-03T14:35:11

#x=1.225#

#3^(4x)+25=243#
#3^(4x)=243-25#
#3^(4x)=218#
#3^(4x)=3^4.9 " (taking value" log_3 218 =4.9#)

#4x=4.9#
#x=1.225# (approx.)

Hope it helps...

Answer 2 · 2018-06-03T15:33:05

#x = -5#

Without any formatting, the exact meaning of the question is ambiguous.

I tend to think that what is meant is #3^(4x+25) = 243#

#243# is one of the powers of #3:" "rarr 3^5 =243#

#3^(4x+25) = 3^5#

If the bases are equal then the indices are equal.

#:. 4x+25= 5#

#4x = 5-25#

#4x = -20#

#x = -5#