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QUESTION

# How do you solve Log 2 + log(4x – 1) = 3?

x = 5/8

You used Logarithm of a product (based on the symbol you used which is addition).

log2 + log(4x-1) = 3 log 2(4x-1) = 3 log (8x-2) = 3 8x-2 = 3 8x = 3+2 8x = 5

(then divide them with 8 so that we can remove the value of x which is not applicable), so.. 8x-:8 = 5-:8

x = 5/8