Ola Luana Gabriela

log3(3x) + log9(x) = 7

log(x)/log(9) + log(x)/log(3) + log3(3) = 7

log(x)/log(9) + 2log(x)/log(9) = 6

3log(x) = 6*log(9)

log(x) = 2log(9)

log(x) = log(81)

x = 81

pronto

log9 x = log3 x / log3 9 = log3 x / log3 3² = (log3 x) / 2

log3 3x + log9 x = 7

log3 3x + (log3 x) / 2 = 7

2log3 3x + log3 x = 14

log3 (3x)² + log3 x = 14

log3 (3x)² .x = 14

log3 9x³ = 14

log3 9x³ = log3 3¹⁴

9x³ = 3¹⁴

x³ = 3¹⁴/9 = 3¹⁴/3² = 3¹²

x = (3¹²)¹/³

x = 3⁴

x = 81