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How do you solve log 5 x=4?

0 votes

How do you solve log 5 x=4?

asked Apr 15, 2013 in ALGEBRA 2 by andrew Scholar

1 Answer

+1 vote

italic log 5 subscript x equal 4

Formula : space space italic log a subscript b equal c space t h e n space a equal b to the power of c

5 equal x to the power of 4                   (Remove log we rewrite the equation)

x to the power of 4 equal 5                   (Symmetric property)

x equal 5 to the power of 1 over 4 end exponent                (Take fourth root to each side).

answered Apr 15, 2013 by diane Scholar

log (5) x=4

According basic principal of logarithms

log(b)x=a --> x=b^a

x=5^4

  =625

 

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