4-16-x-4-5-2-2x-13-

Question Number 177361 by jlewis last updated on 04/Oct/22

4 (16^{(x + 4)} \times 5 . 2^{2 x} = 13

Answered by a.lgnaoui last updated on 04/Oct/22

2^{2} {(2^{4})}^{(x + 4)} \times 5 . 2^{2 x} = 13

5 (2^{4 x + 18} \times 2^{2 x}) = 13

(2^{6 x + 18}) = \frac{13}{5}

(6 x + 18) \ln 2 = \ln 13 - \ln 5

6 x = \frac{\ln 13 - \ln 5}{\ln 2} - 18

x = \frac{\ln 13 - \ln 5 - 18 . \ln 2}{6 . \ln 2}; (\ln 13 = 2, 5649 \ln 5 = 1, 6094 \ln 2 = 0, 6931)

x = \frac{2, 5649 - 1, 6094 - 12, 4758}{4, 1586}

x = - 2, 77

Commented by a.lgnaoui last updated on 04/Oct/22

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